Curriculum Taken Directly from Dana Math and Eureka Math: A Story of Units

Trimester 1

August/September (22 school days)

Understanding Place Value of Whole Numbers and Decimals Including Rounding

Comparing, Ordering, and Rounding Decimals

Lesson One-Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson One Sprint: _______

Lesson Two- Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three- Use exponents to name place value units and explain patterns in the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three Sprint:________

Lesson Four- Use exponents to denote powers of 10 with application to metric conversions

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five-Name decimal fractions in expanded, unit, and word forms by applying place value reasoning

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: ________

Lesson Six- Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven- Round a given decimal to any place using place value understanding and the vertical number line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ________

Lesson Eight- Round a given decimal to any place using place value understanding and the vertical number line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment: _____________

Lesson Nine: Add decimals using place value strategies and relate those strategies to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine Sprint: __________

Lesson Ten: Subtract decimals using place value strategies and relate those strategies to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: ____________

Lesson Thirteen: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen Sprint: ______________

Lesson Fourteen: Divide decimals with a remainder using place value understanding and relate to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Divide decimals using place value understanding, including remainders in the smallest unit.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen Sprint:__________

Lesson Sixteen: Solve word problems using decimal operations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen Sprint:_______

End-of-Module Assessment Task: _______________

October (21 days)

Addition and Multiplication of Whole Numbers and Decimals

Subtraction and Division of Whole Numbers and Decimals

Lesson One: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Estimate multi-digit products by rounding factors to a basic fact and using place value patterns.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two Sprint: _______

Lesson Three: Write and interpret numerical expressions and compare expressions using a visual model.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Connect visual models and the distributive property to partial products of the standard algorithm without renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: __________

Lesson Six: Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six Sprint: ___________

Lesson Seven: Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: __________

Lesson Eight: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: ________

Lesson Twelve: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen: Use whole number multiplication to express equivalent measurements.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Use decimal multiplication to express equivalent measurements.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Solve two-step word problems involving measurement and multi-digit multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task:________

Lesson Fifteen Sprint: ________

Lesson Sixteen: Use divide by 10 patterns for multi-digit whole number division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen Sprint: ______________

Lesson Seventeen: Use basic facts to estimate quotients with two-digit divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Use basic facts to estimate quotients with two-digit divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Two: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three- digit quotients, reasoning about the decomposition of successive remainders in each place value.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Three: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Four: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Five: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

End-of-Module Assessment Task: ___________

January (18 days)

Add and Subtract Fractions

Lesson One: Make equivalent fractions with the number line, the area model, and numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson One Sprint: _______

Lesson Two: Make equivalent fractions with sums of fractions with like denominators.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two Sprint: __________

Lesson Three: Add fractions with unlike units using the strategy of creating equivalent fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three Sprint: __________

Lesson Four: Add fractions with sums between 1 and 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: _______

Lesson Six: Subtract fractions from numbers between 1 and 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Solve two-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ______

Lesson Eight: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task: _________

Lesson Nine: Add fractions making the units numerically.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine Sprint: ______

Lesson Ten: Add fractions with sums greater than 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten Sprint: _________

Lesson Eleven: Subtract fractions making like units numerically.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Subtract fractions greater than or equal to 1.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: ________

Lesson Thirteen: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Strategize to solve multi-term problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen Sprint:_____

Lesson Fifteen: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen Sprint: ______

Lesson Sixteen: Explore part to whole relationships.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Post-Module Assessment Task: _______

Trimester 1 Assessment: __________

Trimester 2

February (16 days)

Fractions as Division

Representing and Interpreting Data on a Line Plot

Lesson One: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch and analyze the data through line plots.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Interpret a fraction as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Interpret a fraction as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Use tape diagrams to model fractions as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Relate fractions as division to fractions as a set.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six Sprint: _______

Lesson Seven: Multiply any whole number by a fraction using tape diagrams.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight: Relate fraction of a set to the repeated addition interpretation of fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Find a fraction of a measurement, and solve word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Compare and evaluate expressions with parentheses.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

March (19 Days)

Understanding Multiplication to Multiply Fractions

Interpreting Multiplication as Scaling or Resizing

Using Measurement Conversions

Lesson Thirteen: Multiply unit fractions by unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Multiply unit fractions by non-unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen Sprint: ________

Lesson Fifteen: Multiply non-unit fractions by non-unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen: Solve word problems using tape diagrams and fraction-by-fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Relate decimal and fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Relate decimal and fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen Sprint: ______

Lesson Nineteen: Convert measures involving whole numbers, and solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty: Convert unit measurements, and solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One Sprint: _______

Lesson Twenty-Two: Compare the size of the product to the size of the factors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Three: Compare the size of the product to the size of the factors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Four: Solve word problems using fraction and decimal multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Tasks: _____________

March/April (16 days)

Solving Problems Involving Multiplication and Division of Fractions and Mixed Numbers

Lesson Twenty-Five: Divide a whole number by a unit fraction.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Six: Divide a unit fraction by a whole number.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Seven: Solve problems involving fraction division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Eight: Write equations and word problems corresponding to tape and number line diagrams.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Nine: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty: Divide decimal dividends by non-unit decimal divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty Sprint: ________

Lesson Thirty-One: Divide decimal dividends by non-unit decimal divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Two: Interpret and evaluate numerical expressions including the language of scaling and fraction division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Three: Create story contexts for numerical expressions and tape diagrams, and solve word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Three Sprint: __________

Post-Module Assessment Task: ____________

Trimester 2 Assessment: ________

Trimester 3

April (22 days)

Understanding and Measuring Volume Using Manipulatives

Linking Concrete Measurement of Volume to the Use of Formulas

May (15 days)

Solving Real World Problems Involving Volume

Lesson One: Explore volume by building with and counting unit cubes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Find the volume of a right rectangular prism by packing with cubic units and counting.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Compose and decompose right rectangular prisms using layers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson 3 Sprint: ______

Lesson Four: Use multiplication to calculate volume.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Use multiplication to connect volume as packing with volume as filling.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Find the total volume of solid figures composed of two non-overlapping rectangular prisms.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Solve word problems involving the volume of rectangular prisms with whole number edge lengths.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ______

Lesson Eight: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: ________

Lesson Twelve: Measure to find the area of areas with fractional side lengths.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen: Multiply mixed number factors, and relate to the distributive property and area model.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment: __________

Lesson Sixteen: Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen Sprint: _______

Lesson Nineteen: Draw kites and squares to clarify their attributes, and define kites and squares based on these attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen Sprint: _______

Lesson Twenty: Classify two-dimensional figures in a hierarchy based on properties.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Draw and identify varied two-dimensional figures from given attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One Sprint: _______

Post-Module Assessment: __________

May and June (10 days)

Using a Coordinate Grid to Graph Points and to Analyze Patterns and Relationships

Lesson One: Construct a coordinate system on a line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Construct a coordinate system on a plane.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Name points using coordinate pairs, and use the coordinate pairs to plot points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Name points using coordinate pairs, and use the coordinate pairs to plot points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Plot points, using them to draw lines in the plane, and describe patterns within the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight: Generate a number pattern from a given rule, and plot the points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight Sprint: ________

Lesson Nine: Generate two number patterns from given rules, plot the points, and analyze the patterns.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Compare the lines and patterns generated by addition rules and multiplication rules.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task: _______

Lesson Eleven: Analyze number patterns created from mixed operations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: _________

Lesson Twelve: Create a rule to generate a number pattern, and plot the points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: _______

Lesson Thirteen: Construct parallel line segments on a rectangular grid.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Construct parallel line segments, and analyze relationships of the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Construct perpendicular line segments on a rectangular grid.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen: Construct perpendicular line segments, and analyze relationships of the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Draw symmetric figures using distance and angle measure from the line of symmetry.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Draw symmetric figures on the coordinate plane.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen: Plot data on line graphs and analyze trends.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen Sprint: ___________

Lesson Twenty: Use coordinate systems to solve real world problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty Sprint: ___________

End-of-Module Assessment Task: _________

Classifying 3-D Figures (6 days)- not addressed

Trimester 1

August/September (22 school days)

Understanding Place Value of Whole Numbers and Decimals Including Rounding

Comparing, Ordering, and Rounding Decimals

Lesson One-Reason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson One Sprint: _______

Lesson Two- Reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three- Use exponents to name place value units and explain patterns in the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three Sprint:________

Lesson Four- Use exponents to denote powers of 10 with application to metric conversions

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five-Name decimal fractions in expanded, unit, and word forms by applying place value reasoning

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: ________

Lesson Six- Compare decimal fractions to the thousandths using like units and express comparisons with >, <, =.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven- Round a given decimal to any place using place value understanding and the vertical number line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ________

Lesson Eight- Round a given decimal to any place using place value understanding and the vertical number line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment: _____________

Lesson Nine: Add decimals using place value strategies and relate those strategies to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine Sprint: __________

Lesson Ten: Subtract decimals using place value strategies and relate those strategies to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Multiply a decimal fraction by single-digit whole numbers, relate to a written method through application of the area model and place value understanding, and explain the reasoning used.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Multiply a decimal fraction by single-digit whole numbers, including using estimation to confirm the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: ____________

Lesson Thirteen: Divide decimals by single-digit whole numbers involving easily identifiable multiples using place value understanding and relate to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen Sprint: ______________

Lesson Fourteen: Divide decimals with a remainder using place value understanding and relate to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Divide decimals using place value understanding, including remainders in the smallest unit.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen Sprint:__________

Lesson Sixteen: Solve word problems using decimal operations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen Sprint:_______

End-of-Module Assessment Task: _______________

October (21 days)

Addition and Multiplication of Whole Numbers and Decimals

Subtraction and Division of Whole Numbers and Decimals

**Write, Understand, and Interpret Numerical Expressions (7 days needed but only one day represented)**Lesson One: Multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Estimate multi-digit products by rounding factors to a basic fact and using place value patterns.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two Sprint: _______

Lesson Three: Write and interpret numerical expressions and compare expressions using a visual model.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Convert numerical expressions into unit form as a mental strategy for multi-digit multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Connect visual models and the distributive property to partial products of the standard algorithm without renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: __________

Lesson Six: Connect area diagrams and the distributive property to partial products of the standard algorithm without renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six Sprint: ___________

Lesson Seven: Connect area diagrams and the distributive property to partial products of the standard algorithm with renaming.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: __________

Lesson Eight: Fluently multiply multi-digit whole numbers using the standard algorithm and using estimation to check for reasonableness of the product.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Fluently multiply multi-digit whole numbers using the standard algorithm to solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Multiply decimal fractions with tenths by multi-digit whole numbers using place value understanding to record partial products.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Multiply decimal fractions by multi-digit whole numbers through conversion to a whole number problem and reasoning about the placement of the decimal.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: ________

Lesson Twelve: Reason about the product of a whole number and a decimal with hundredths using place value understanding and estimation.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen: Use whole number multiplication to express equivalent measurements.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Use decimal multiplication to express equivalent measurements.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Solve two-step word problems involving measurement and multi-digit multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task:________

Lesson Fifteen Sprint: ________

Lesson Sixteen: Use divide by 10 patterns for multi-digit whole number division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen Sprint: ______________

Lesson Seventeen: Use basic facts to estimate quotients with two-digit divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Use basic facts to estimate quotients with two-digit divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen: Divide two- and three-digit dividends by multiples of 10 with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Divide two- and three-digit dividends by two-digit divisors with single-digit quotients and make connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Two: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three- digit quotients, reasoning about the decomposition of successive remainders in each place value.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Three: Divide three- and four-digit dividends by two-digit divisors resulting in two- and three-digit quotients, reasoning about the decomposition of successive remainders in each place value.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Four: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Five: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

End-of-Module Assessment Task: ___________

January (18 days)

Add and Subtract Fractions

Lesson One: Make equivalent fractions with the number line, the area model, and numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson One Sprint: _______

Lesson Two: Make equivalent fractions with sums of fractions with like denominators.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two Sprint: __________

Lesson Three: Add fractions with unlike units using the strategy of creating equivalent fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three Sprint: __________

Lesson Four: Add fractions with sums between 1 and 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five Sprint: _______

Lesson Six: Subtract fractions from numbers between 1 and 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Solve two-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ______

Lesson Eight: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task: _________

Lesson Nine: Add fractions making the units numerically.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine Sprint: ______

Lesson Ten: Add fractions with sums greater than 2.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten Sprint: _________

Lesson Eleven: Subtract fractions making like units numerically.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Subtract fractions greater than or equal to 1.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: ________

Lesson Thirteen: Use fraction benchmark numbers to assess reasonableness of addition and subtraction equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Strategize to solve multi-term problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen Sprint:_____

Lesson Fifteen: Solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen Sprint: ______

Lesson Sixteen: Explore part to whole relationships.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Post-Module Assessment Task: _______

Trimester 1 Assessment: __________

Trimester 2

February (16 days)

Fractions as Division

Representing and Interpreting Data on a Line Plot

Lesson One: Measure and compare pencil lengths to the nearest 1/2, 1/4, and 1/8 of an inch and analyze the data through line plots.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Interpret a fraction as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Interpret a fraction as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Use tape diagrams to model fractions as division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Relate fractions as division to fractions as a set.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six Sprint: _______

Lesson Seven: Multiply any whole number by a fraction using tape diagrams.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight: Relate fraction of a set to the repeated addition interpretation of fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Find a fraction of a measurement, and solve word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Compare and evaluate expressions with parentheses.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve: Solve and create fraction word problems involving addition, subtraction, and multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

March (19 Days)

Understanding Multiplication to Multiply Fractions

Interpreting Multiplication as Scaling or Resizing

Using Measurement Conversions

Lesson Thirteen: Multiply unit fractions by unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Multiply unit fractions by non-unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen Sprint: ________

Lesson Fifteen: Multiply non-unit fractions by non-unit fractions.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen: Solve word problems using tape diagrams and fraction-by-fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Relate decimal and fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Relate decimal and fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen Sprint: ______

Lesson Nineteen: Convert measures involving whole numbers, and solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty: Convert unit measurements, and solve multi-step word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Explain the size of the product, and relate fraction and decimal equivalence to multiplying a fraction by 1.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One Sprint: _______

Lesson Twenty-Two: Compare the size of the product to the size of the factors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Three: Compare the size of the product to the size of the factors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Four: Solve word problems using fraction and decimal multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Tasks: _____________

March/April (16 days)

Solving Problems Involving Multiplication and Division of Fractions and Mixed Numbers

Lesson Twenty-Five: Divide a whole number by a unit fraction.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Six: Divide a unit fraction by a whole number.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Seven: Solve problems involving fraction division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Eight: Write equations and word problems corresponding to tape and number line diagrams.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-Nine: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty: Divide decimal dividends by non-unit decimal divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty Sprint: ________

Lesson Thirty-One: Divide decimal dividends by non-unit decimal divisors.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Two: Interpret and evaluate numerical expressions including the language of scaling and fraction division.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Three: Create story contexts for numerical expressions and tape diagrams, and solve word problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirty-Three Sprint: __________

Post-Module Assessment Task: ____________

Trimester 2 Assessment: ________

Trimester 3

April (22 days)

Understanding and Measuring Volume Using Manipulatives

Linking Concrete Measurement of Volume to the Use of Formulas

May (15 days)

Solving Real World Problems Involving Volume

Lesson One: Explore volume by building with and counting unit cubes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Find the volume of a right rectangular prism by packing with cubic units and counting.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Compose and decompose right rectangular prisms using layers.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson 3 Sprint: ______

Lesson Four: Use multiplication to calculate volume.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Use multiplication to connect volume as packing with volume as filling.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Find the total volume of solid figures composed of two non-overlapping rectangular prisms.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Solve word problems involving the volume of rectangular prisms with whole number edge lengths.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven Sprint: ______

Lesson Eight: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nine: Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven: Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: ________

Lesson Twelve: Measure to find the area of areas with fractional side lengths.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Thirteen: Multiply mixed number factors, and relate to the distributive property and area model.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment: __________

Lesson Sixteen: Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen Sprint: _______

Lesson Nineteen: Draw kites and squares to clarify their attributes, and define kites and squares based on these attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen Sprint: _______

Lesson Twenty: Classify two-dimensional figures in a hierarchy based on properties.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One: Draw and identify varied two-dimensional figures from given attributes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty-One Sprint: _______

Post-Module Assessment: __________

May and June (10 days)

Using a Coordinate Grid to Graph Points and to Analyze Patterns and Relationships

Lesson One: Construct a coordinate system on a line.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Two: Construct a coordinate system on a plane.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Three: Name points using coordinate pairs, and use the coordinate pairs to plot points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Four: Name points using coordinate pairs, and use the coordinate pairs to plot points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Five: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Six: Investigate patterns in vertical and horizontal lines, and interpret points on the plane as distances from the axes.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seven: Plot points, using them to draw lines in the plane, and describe patterns within the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight: Generate a number pattern from a given rule, and plot the points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eight Sprint: ________

Lesson Nine: Generate two number patterns from given rules, plot the points, and analyze the patterns.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Ten: Compare the lines and patterns generated by addition rules and multiplication rules.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Mid-Module Assessment Task: _______

Lesson Eleven: Analyze number patterns created from mixed operations.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eleven Sprint: _________

Lesson Twelve: Create a rule to generate a number pattern, and plot the points.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twelve Sprint: _______

Lesson Thirteen: Construct parallel line segments on a rectangular grid.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fourteen: Construct parallel line segments, and analyze relationships of the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Fifteen: Construct perpendicular line segments on a rectangular grid.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Sixteen: Construct perpendicular line segments, and analyze relationships of the coordinate pairs.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Seventeen: Draw symmetric figures using distance and angle measure from the line of symmetry.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Eighteen: Draw symmetric figures on the coordinate plane.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen: Plot data on line graphs and analyze trends.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Nineteen Sprint: ___________

Lesson Twenty: Use coordinate systems to solve real world problems.

Lesson Participation: _______

Homework: __________

Exit Ticket:___________

Lesson Twenty Sprint: ___________

End-of-Module Assessment Task: _________

Classifying 3-D Figures (6 days)- not addressed