Unit 7 Math Plans
7·1 Review of Basic Fraction Concepts
Content Standards: 4.NF.3b
Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP4: Model with mathematics.
SMP5: Use appropriate tools strategically.
GMP4.1: Apply mathemmatical ideas to real-world situations.
GMP5.2: Use mathematical tools correctly and efficiently.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (SRB pg 43)
Reviewing Fraction Ideas and Notation
Identifying Fractional Parts of Pattern-Block Shapes (Journal 2 pgs 185-186); RSA MJ186 #8
Identifying Fractional Parts of Number Lines (Journal 2 pg 187);
Entering Fractions and Mixed Numbers on a Calculator (Journal 2 pg 187)
2. Ongoing Learning & Practice
Play Product Pile-Up (SRB pg 259)
Math Boxes 7·1 (Journal 2 pg 188)
Study Link 7·1 (MM 203)
3. Differentiation Options
Readiness: Creating a Number-Line Model for Fractions (MM pgs 204-205)
Enrichment: Constructing an Equilateral Triangle (MM pg 206);
Naming Fractional Parts of a Region
ELL Support: Building a Math Word Bank
7·2 Fractions of Sets
Standards: 4.NF.4c, 4.MD.2
Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP2: Reason abstractly and quantitatively.
SMP4: Model with Mathematics.
GMP2.2: Explain the meaning of numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects
you and others use.
GMP4.2: Use mathematical models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve
problems.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Modeling “Fractions-of” Problems with Pennies
Solving “Fractions-of” Problems (Journal 2 pgs 189-190) Informing Instruction; RSA MJ190 #4A-8A
2. Ongoing Learning & Practice
Resuming the World Tour (Journal 2 pgs 329–333; SRB; MM 419 – 421)
Math Boxes 7·2 (Journal 2 pg 191)
Study Link 7·2 (MM 207)
3. Differentiation Options
Readiness: Exploring Fractions of a Set (MM 388 or 389)
Enrichment: Solving “Fraction-of” Problems (MM 208)
Extra Practice: Play Fraction Of with Partners (SRB pgs 244-245; MM 477-480)
7·3 Probabilities When Outcomes Are Equally Likely
Standards: 4.NF.4c
Mathematical Practices: SMP1, SMP2, SMP4,SMP6, SMP8
Focus on SMP6: Attend to precision.
SMP8: Look for and express regularity and repeated reasoning.
GMP6.1: Communicate your mathematical clearly and precisely.
GMP8.1: Use patterns and structures to create and explain rules and shortcuts.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Reviewing Words and Phrases Associated with Chance Events
Introducing a Formula for Finding the Probability of an Event When the Outcomes Are Equally
Likely (Journal 2 pg 192) Finding the Probability of an Event When the Outcomes Are Equally
Likely (Journal 2 pg 192) RSA MJ194 #4
2. Ongoing Learning & Practice
Play Fraction Of with Partners (SRB pgs 244-245; MM 477-480);
Math Boxes 7·3 (Journal 2 pg 193)
Study Link 7·3 (MM 209)
3. Differentiation Options
Readiness: Exploring a Deck of Regular Playing Cards (MM 210)
Enrichment: Conducting and Analyzing a Playing Card Experiment (MM 211)
Extra Practice: Play Grab Bag with Partners (SRB pg 249; MM 483 – 485)
ELL Support: Building Background for Mathematics Words
7·4 Pattern-Block Fractions
Standards: 4.NF.3a, 4.NF.3b, 4.MD.2
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP2: Reason abstractly and quantitatively.
GMP1.3: Try different approaches when your problem is hard.
GMP2.2: Explain the meaning of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete
objects you and others use.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Exploring Fractional Parts of Regions with Pattern Blocks
Solving Problems about Shape A (Journal 2 pg 194; MM 212);
Solving Problems about Shape B (Journal 2 pg 195; MM 212); Informing Instruction
Solving Problems about Shape C (Journal 2 pg 196; MM 212) RSA Exit Slip MM 388 or 389
2. Ongoing Learning & Practice
Math Boxes 7·4 (Journal 2 pg 197)
Study Link 7·4 (MM 213)
3. Differentiation Options
Readiness: Building Rectangles (MM 214)
Enrichment: Exploring Tangrams (MM 215 and 441)
Writing Fraction and Mixed-Number Addition Number Stories.
7·5 Fraction Addition and Subtraction
Standards: 4.NF.3a, 4.NF.3b, 4.NF.3d, 4.MD.6
Mathematical Practices: SMP1, SMP2, SMP5, SMP6, SMP7
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP2: Reason abstractly and quantitatively.
GMP1.4: Solve your problem in more than one way.
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables,
graphs, and concrete objects.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Modeling Fraction Sums with Pattern Blocks
Modeling Fraction and Mixed-Number Differences
Solving Fraction and Mixed-Number Addition and Subtraction Problems (Journal 2 pg 198) RSA
MJ198 #1
Using a Calculator to Add and subtract Fractions
Solving Fraction Number Stories
2. Ongoing Learning & Practice
Play Angle Tangle (SRB pg 230; MM 457)
Math Boxes 7.5 (Journal 2 pg 199)
Study Link 7·5 (MM 216)
3. Differentiation Options
Readiness: Exploring Fractions that Sum to One (MM 217)
Extra Practice: Solving Frames-and-Arrows Problems (MM 393)
7·6 Many Names for Fractions
Standards: 4.NF.1, 4.NF.2, 4.NF.3s, 4.NF.3c, 4.NF.3d
Mathematical Practices: SMP2, SMP5, SMP6, SMP7
Focus on SMP5: Use appropriate tools strategically.
SMP7: Look for and make use of structure.
GMP5.2: Use mathematical tools correctly and efficiently.
GMP7.1: Find, extend, analyze and create patterns.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal 2 Activity Sheets 5-6)
Starting a Collection of Fraction Names (Journal 2 pgs 342-343)
Continuing a Collection of Fraction Names (Journal 2 pgs 342-343)
2. Ongoing Learning & Practice
Play Grab Bag with Partners (SRB pg 249; MM 483–485)
Math Boxes 7·6 (Journal 2 pg 200) RSA MB #4
Study Link 7·6 (MM 218)
3. Differentiation Options
Readiness: Finding Equivalent Fractions (MM 219-221)
Enrichment: Modeling Fraction Equivalencies (MM 222)
Extra Practice: Play Fraction Match (SRB pg 243; MM 473-476)
7·7 Equivalent Fractions
Standards: 4.OA,4, 4.NF.1, 4.NF.2, 4.NF.3a, 4.NF.3c, 4.NF.3d
Mathematical Practices: SMP2, SMP3, SMP5, SMP6, SMP7, SMP8
Focus on SMP8: Look for and express regularity in repeated reasoning.
GMP8.1: Use patterns and structures to create and explain rules and shortcuts.
GMP8.2: Use properties, rules, and shortcuts to solve problems
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal 2 pg 201)
Developing a Rule for Finding Equivalent Fractions (Journal 2 pg 201)
Generating Equivalent Fractions (Journal 2 pgs 342-343; MM 225) Informing Instruction RSA
MM225
2. Ongoing Learning & Practice
Play Fraction Match (SRB pg 243; MM 473-476)
Math Boxes 7·7 (Journal 2 pg 202)
Study Link 7·7 (MM 223)
3. Differentiation Options
Readiness: Identifying Equivalent Fractions on the Fraction Number-Line Poster (MM pgs 204205, 388 or 389)
Enrichment: Investigating Egyptian Fractions (MM 224)
Extra Practice: Completing Name-Collection Boxes (MM397)
Extra Practice: 5-Minute Math
7·8 Fractions and Decimals
Standards: 4.NF.1, 4.NF.5, 4.NF.6
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP4: Model with mathematics.
GMP1.6: Connect mathematical ideas and representations to one another.
GMP4.2: Use mathematical models such as graphs, drawings, tables, symbols, numbers, diagrams to solve problems.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal pg 426)
Renaming Fractions as Decimals and Decimals as Fractions (Journal 2 pgs 203, 342-343; MM
426) RSA MJ #1-4, 7 & 8
Renaming Fractions as Decimals with a Calculator (Journal 2 pg 203)
Discussing Fractions and Division (SRB pg 46)
2. Ongoing Learning & Practice
Taking a 50-Facts Test (MM 412, 414, and 416)
Math Boxes 7·8 (Journal 2 pg 204)
Study Link 7·8 (MM 226)
3. Differentiation Options
Readiness: Creating Base-10 Block Designs (MM pg 442)
Enrichment: Finding Fractions, Decimals, and Percents on Grids (MM pg 227)
7·9 Comparing Fractions
Standards: 4.NF.1, 4.NF.2, 4.NF.5, 4.MD.7
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP7: Look for and make use of structure.
GMP1.5: Check whether your solution makes sense.
GMP7.1: Find, extend, analyze, and create patterns.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal 2 pg 205)
Ordering Fractions (Journal 2 Activity Sheets 5 and 6) Informing Instruction
Comparing Fractions with ½ (Journal 2 pg 205)
Ordering Fractions (Journal 2 pg 206) RSA MJ206 #6
2. Ongoing Learning & Practice
Play Over and Up Squares with Partners (SRB pg 257; MM 494)
Math Boxes 7·9 (Journal 2 pg 207)
Study Link 7·9 (MM 228)
3. Differentiation Options
Readiness: Sorting Fractions (MM pg 229)
Enrichment: Using Digits to Create Fractions (MM 230)
Extra Practice: Play Fraction Top-It (SRB pg 247; MM 506)
7·10 The ONE for Fractions
Standards: 4.NF.1, N.F.2, 4.NF.3a, 4.NF.3c, 4.NF.3d, 4.MD.4
Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6
Focus on SMP1: Make sense of problems and persevere in solving.
SMP2: Reason abstractly and quantitatively.
GMP1.1: Work to make sense of your problem.
GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables,
graphs, and concrete objects.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Using Pattern Blocks to Find the ONE
Using Counters to Find the ONE
Solving “What is the ONE?” Problems (Journal 2 pgs 208-209)
2. Ongoing Learning & Practice
Play Fraction Top-It with Partners (SRB pg 247 RSA MM 506)
Math Boxes 7·10(Journal 2 pg 210)
Study Link 7·10 (MM 231)
3. Differentiation Options
Readiness: Play Getting to One with Partners (SRB pg 248)
Enrichment: Finding the ONE (MM 232)
7·11 Probability, Fractions, and Spinners
Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6, SMP8
Focus on SMP5: Use appropriate tools strategically
SMP8: Look for and express regularity and repeated reasoning.
GMP5.2: Use mathematical tools correctly and efficiently.
GMP8.3: Reflect on your thinking before, during and after you solve a problem.
Mental Math and Reflexes RSA
1. Teaching the Lesson
Math Message and Follow Up
2. Ongoing Learning & Practice
Math Boxes 7·11(Journal 2 pg 212)
Play Chances Are with Partners (SRB pgs 236-237; MM 462-466)
Study Link 7·11(MM 234-236)
3. Differentiation Options
Readiness: Dividing Circles into Fractional Parts (MM 237)
Enrichment: Investigating Chance Events
ELL Support: Building a Math Word Bank (Differentiation Handbook)
7·12 A Cube-Drop Experiment
Standards: 4.NBT.2, 4.NF.3b, 4.NF.6
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP8
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP8: Look for and express regularity in repeated reasoning.
GMP1.6: Connect mathematical ideas and representations to one another.
GMP8.3: Reflect on your thinking, before, during, and after you solve the problem.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up (Journal 2 pg 213)
Predicting the Result of an Experiment (Journal 2 pgs 214; MM 238)
Performing a Cube-Drop Experiment (Journal 2 pg 215; MM 238)
Comparing Actual and Expected Results (Journal 2 pgs 214-215) RSA Exit Slip MM388 or 389
2. Ongoing Learning & Practice
Math Boxes 7·12(Journal 2 pg 217)
Study Link 7·12 (MM 239)
3. Differentiation Options
Readiness: Renaming Fractions as Percents (MM 240)
Enrichment: Comparing Actual and Expected Results of 1,000 Cube Drops (MM 241-242, 388 or
389)
Extra Practice: 5-Minute Math
ELL Support: Building a Math Word Bank (Differentiation Handbook)
7·12a Multiplying Fractions by Whole Numbers (May take 2 days)
Standards: 64.OA.4, 4.NF.4a, 4.NF.4b, 4.NF.4c
Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8
Focus on SMP1: Make sense of problems and persevere in solving them.
SMP2: Reason abstractly and quatitatively.
GMP1.6: Connect mathematical ideas and representations to one another.
GMP2.2: Explain the meaning of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete
objects you and others use.
Mental Math and Reflexes
1. Teaching the Lesson
Math Message and Follow Up
Using a Visual Fraction Model to Multiply a Unit Fraction by a Whole Number (Journal 2 pgs 217A)
Using a Visual Fraction Model to Multiply Any Fraction by a Whole Number (Journal 2 pgs 217B
217C)
Solving Number Stories (Journal 217D & 217E) Informing Instruction
2. Ongoing Learning & Practice
Math Boxes 7·12a(Journal 2 pg 217F) RSA #3
Study Link 7·12a
3. Differentiation Options
Readiness: Skip Counting to Show Multiples of Unit Fractions
Enrichment: Visual Models for Multiplying a Fraction by a Whole Number
Extra Practice: 5-Minute Math
7·13 Progress Check 7
Math Message
Assessment Handbook page 184
1. Assessing Progress
 Oral and Slate Assessments
 Written Assessment (Assessment Handbook pgs 185–187)
 Open Response (Assessment Handbook pg 188)
2. Building Background for Unit 8
 Math Boxes 7·13(Journal 2 pg 218)
Study Link 7·13: Unit 8 Family Letter (MM pgs 243-246)