Grade 7, 2015-2016 Pacing Guide: Instructional Block 3, Units 5&6, Dec. 9th – Feb. 26th
CMP3 Unit 5
December 9 – January 26 Moving Straight Ahead
4 Investigations: 24 Days
CURRICULUM
Ratios and Proportional Relationships
ANALYZE PROPORTIONAL RELATIONSHIPS AND USE THEM TO SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS.
RP.2: Recognize and represent proportional relationships between quantities.
b.Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
c.Represent proportional relationships by equations.
Expressions and Equations
SOLVE REAL-LIFE AND MATHEMATICAL PROBLEMS USING NUMERICAL AND ALGEBRAIC EXPRESIONS AND EQUATIONS.
EE.1:Apply properties of operations as strategies to add, stubract, factor, and expand linear expressions with rational coefficients.
EE.2:Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
EE.4:Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the
quantities.
Related Standards: RP.2a-d, EE.3, EE.4a-b
Note: 2.3 Comparing Relationships includes y = mx + b and y-intercept and is formally introduced in 8th grade standards.
Investigation 4 – Exploring Slope: Connecting Rates and Ratios addresses slope and Linear Relationships and goes in greater depth than 7 th grade will be assessed on
the end of year test. This investigation may be taught after end of year assessment but must be taught before 8th grade.
Vocabulary:
Models:
Strategies:
INSTRUCTION
Two Dimensional Geometry:
Investigation 1:Walking Rates
Investigation 2:Exploring Linear Relationships with Graphs and Tables
Investigation 3:Solving Equations
Investigation 4:Exploring Slope: Connecting Rates and Ratios
ASSESSMENT
Before Instruction: Unit Readiness
During Instruction: Check-up 1, Partner Quiz, Check-up 2
After Instruction: Unit Project, Self-Assessment, Unit Test
CMP3 Unit 6 January 27 – February 26 What Do You Expect?, 5 Investigations: 22 Days
CURRICULUM
Statistics and Probability
INVESTIGATE CHANCE PROCESSES AND DEVELOP, USE, AND EVALUATE PROBABILITY MODELS.
SP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater
likelihood. A probability near 0 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
SP.6:Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the
approximate relative frequency given the probability.
SP.7:Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain
possible sources of the discrepancy.
SP.8:Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Related Standards: RP.2, RP.2a, RP.3, SP.7a-b, SP.8a-b
Vocabulary:
Models:
Strategies:
INSTRUCTION
Integers and Rational Numbers:
Investigation 1: A First Look At Chance
Investigation 2: Experimental & Theoretical Probability
Investigation 3: Making Decisions With Probability
Investigation 4:Analyzing Compound Events Using An Area Model
Investigation 5:Binomial Outcomes
ASSESSMENT
Before Instruction: Unit Readiness
During Instruction: Partner Quiz, Check-up
After Instruction: Unit Project, Self-Assessment, Unit Test, Interim 3 Assessment