East Bernstadt Independent Pacing/Curriculum Mapping Document

Mathematics Pre-Algebra

Unit/
Time / Ratios and Proportional Reasoning and Functions – Instructional Days 31 - 76
Standard(s) 7.RP.1 – compute unit rates associated with ratios of fractions, including lengths, areas, and others measured in like or different units. 7.RP.2 – recognize and represent proportional relationships between quantities. Determine whether a relationship is proportional (graph). Find the constant of proportionality and determine equations, explaining what each point means in terms of context. 7.RP.3 – use proportional relationships to solve multistep ratio and percent problems.
8.F.4 – construct a function to model a linear relationship between two quantities, identifying and interpreting the rate of change as slope and the y-intercept as the initial value of the function.
8.F.5 – graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different way.
8.F.2 – compare the properties of two functions.
8.F.3 – interpret the equation y = mx + b.
8.F.6 – use similar triangles to explain why the slope if the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx and y = mx + b.
Learning Target(s) Knowledge, Reasoning, Skill, Product)
I can…
  1. Define ratio.
  2. Define unit rate.
  3. Compute unit rates.
  4. Use unit rates to solve real-world problems.
  5. Determine whether a relationship is proportional.
  6. Find the rate of change.
  7. Define constant of proportionality.
  8. Find the constant of proportionality.
  9. Complete tables of equivalent ratios.
  10. Write equations from proportional relationships.
  11. Solve percent problems using the percent proportion, including discounts, taxes, increase, and decrease.
  12. Determine whether a relationship between two quantities is proportional and/or a linear function.
  13. Compare properties of two functions represented in different ways by interpreting the slope and y-intercept in terms of context.
  14. Use similar triangles to explain slope in the coordinate plane.
/ Formative Assessment (match target to assessment)
CBM week 5 – I can’s #1-4
Extended response – unit rates (complex fractions)
CBM week 6 – I can’s #5-8
CBM week 8 – I can’s #9-11
CBM week 9 – I can’s #10-12
CBM week 11 – I can’s #12-14
CBM week 13 – I can’s #5 – 14
CBM week 14 – I can’s #5 – 14
CBM week 15 – I can’s #5- 14
CBM week 17 – I can’s #5-14
Pre-algebra “Relating Quantities in Context and Graphing” Project
Pre-algebra “Comparing Functions” Extended Response
Unit Test – Ratios and Proportional Reasoning/Functions
Vocabulary
Ratio
Unit rate
Proportional
Rate of change
Constant of proportionality
Equivalent ratios
Percent proportion
Function
Linear
Nonlinear
Slope
y-intercept / Instructional Strategies
Reciprocal Teaching “Better Bargain”
Collaborative Grouping
Questioning
Discussion
Kagan Structures
Resources
Go Math – 7th and 8th grade books or Accelerated Math 7 – Chapters 4, 5
ThinkCentral
Study Island
National Library of Virtual Manipulatives (NLVM) / Technology
SmartBoard
ThinkCentral Interactive
Study Island
NLVM - percents
Summative Assessment
Unit Assessment –Pre-algebra – Unit 2 Ratios and Proportions/Linear Equations/Functions TEST
Small Group / Learning Centers
Small groups – unit price, Pre-algebra “Relating Quantities in Context and Graphing” Project
Hands-on activity – Hotwheels or Monster truck or kickball roll – “Is it proportional?”, Match Game – Function/equation/graph
Reciprocal Learning groups – real-world problems and “Better Bargain”
Program Review
Extended response – writing evidence
Art – poster – “Better Bargain” advertisement
Unit/
Time / Name of Unit or Theme- 4 Weeks; Aug. ___ - Aug. ______
Writing
Week 1 / Standard(s) / Concepts/Skills (label introduce, review, mastery)
Learning Target(s) Knowledge, Reasoning, Skill, Product) / Formative Assessment (match target to assessment)
Instructional Strategies / Vocabulary
Resources / Technology
Portfolio Connection
Conferencing- Learning Centers