CMP - Grade 8 1 st Moving Straight Ahead 7 th Grade Unit Informal ongoing throughout the unit

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1 Sept /Oct CMP st Moving Straight Ahead 7 th Unit Informal ongoing throughout the unit using classroom observations, ACE questions, and Mathematical Reflections. Formal Check-ups and quizzes during the unit, and unit test at the end of the unit. Further develop understanding of variable and patterns (continuing the exploration of the ideas presented in the Variables and Patterns unit) Recognize and represent the relationships among variables in a variety of ways, including the use of words, tables, graphs, and symbols Identify variables and determine an appropriate range of values for independent and dependent variables Collect data and use patterns in tables and graphs to make predictions Use graphing calculators to study linear relationships Communicate with and interpret information from a variety of representations Recognize linear situations in all representations: written descriptions, tables, graphs, and symbols Recognize that linearity is associated with a constant rate of change between two variables Recognize a change in the slope or the y-intercept and its effect on the various representations Solve a linear function of the form y = mx + b using tables, graphs, and equations AR AR AR AR AR AR AR AR AR AR CE AR.04 Include x-intercepts. Solve inequalities. Additional Topic 7: Solving One- Step Equations Page 1 of 6

2 Solve a linear function of the form y = mx + b using tables, graphs, and equations Find the slope and the y-intercept of a linear equation and interpret the meaning of each CE AR AR AR AR AR AR.18 Solve inequalities. Continuity and discreteness. Recognize proportional relationships (y/x = k or y = kx) as a special case. Include x-intercepts. Determine the slope of a line given two points on the line. Additional Topic 7: Solving One- Step Equations Topic 3: Describing and Graphing y=kx Relationships from at a Glance CMP additional lessons Write a linear equation with the slope and y-intercept AR.04 Find a solution common to two linear equations by graphing or creating tables 08.AR.05 Slope and Similar Triangles Page 2 of 6

3 Nov 2 nd Thinking with Mathematical Models Informal ongoing throughout the unit using classroom observations, ACE questions, and Mathematical Reflections. Formal Check-ups and quizzes during the unit, and unit test at the end of the unit. Develop skill in collecting data from experiments and systematically recording that data in tables Construct coordinate graphs to represent data Make predictions from data tables or graph models Use patterns in data to find equations that model relationships between variables 08.AR.01 Use tables, graphs, and equations to model linear and nonlinear relationships between variables Distinguish between linear and nonlinear relationships Use a graphing calculator to find and study graph models and equation models of relationships between variables Use intuitive ideas about rate of change sketch graphs for, and to match graphs to, given situations Use intuitive ideas about rate of change to create stories that fit given graphs AR AR AR AR AR Symbolic Method Writing and Solving Linear Equations Additional Skills and Practice: Skill Solving Equations p Additional Skills and Practice: Additional Practice 2 pages Page 3 of 6

4 Dec- Feb 3 rd Looking for Pythagoras Informal ongoing throughout the unit using classroom observations, ACE questions, and Mathematical Reflections. Formal Check-ups and quizzes during the unit, and unit test at the end of the unit. Understand relationships between coordinates, slope, distance, and area Relate the area of a square to the length of a side CE.09 Develop strategies for finding the distance between two 08.GM.12 dots on a grid or two points on a coordinate grid Discover and apply the Pythagorean Theorem CE GM GM GM.12 Extend understanding of number systems to include irrational numbers Locate irrational numbers on a number line Represent fractions as decimals and decimals as fractions Determine whether the decimal representation for fraction terminates or repeats CE Estimate square roots of whole number less than 100 and cube roots of whole numbers less than (08.CE.08) Locate rational numbers on a number line. (08.CE.03) Angle sum of triangles Angle sum of quadrilaterals Lane County Project: p ;& p th grade Additional Practice & Skills, p Polygon Angle Sums Page 4 of 6

5 Feb- Mar 4 th Samples and Populations Informal ongoing throughout the unit using classroom observations, ACE questions, and Mathematical Reflections. Formal Check-ups and quizzes during the unit, and unit test at the end of the unit. Employ statistical investigation to explore problems Analyze data using table, stem-and-leaf plots, histograms, and box-and-whisker plots Compare data using measures of center (mean, median), measure of spread (range, percentiles), and data displays (stem-and-leaf plots, box-and-whisker plots) SP SP SP.05 Explore relationships among data using scatter plots SP SP.06 Distinguish between sample and populations, compare samples, and use information drawn from samples to make conclusions about populations Apply selected concepts from probability to understand the concept of randomness and to select random samples Explore concepts of representativeness and sample size as they relate to using random and nonrandom samples to draw conclusions about the characteristics of populations Design a survey, focusing on how questions are asked Measures of Center and Spread How changes in data affect those statistics Justify the reasonableness of the choice of display Line of best fit Likelihood of future events Additional Lessons Topic 14: Mean, Median, and Mode Additional Practice and Skills, Additional Practice 2 Data Distributions p ACE (2,3,12) Evaluating Claims Strengths & Limitations of statistical measures 4.2 ACE (6) 7 th grade Additional Practice & Skills, Data Distributions Skill Measures of Center p. 165 Page 5 of 6

6 Apr/ May 5 th Mini -unit Frogs, Fleas, and Painted Cubes & Say It With Symbols (Distributive Property) Develop an understanding of equivalent expressions (two expressions that model the same relationship) Recognize a quadratic function from an equation written as a product of two linear factors or in expanded form y = ax^2 + bx + c Recognize that the same equation can model more than one situation Review and strengthen understanding of the conventional order of operations rules in the context of practical problems Evaluate expressions by applying the rules of order of operations Write symbolic sentences that communicate reasoning Develop tools for manipulating symbolic expressions in ways that are both connected to and independent from tabular, graphical, and contextualized reasoning Recognize applications of the distributive and commutative properties Recognize and interpret equivalent expressions Reason about and use equivalent expressions Explain the reasoning behind the solution of linear equations Understand and use symbolic expressions involving addition, subtraction, multiplication, and division. Judge the equivalency of two or more expressions by examining the underlying reasoning. Apply the properties for mathematically manipulating expressions to solving linear equations 22 5 Informal ongoing throughout the unit using classroom observations, ACE questions, and Mathematical Reflections. Formal Check-ups and quizzes during the unit, and unit test at the end of the unit. 08.CE CE AR CE AR CE.12 Include associative property. Inequalities Page 6 of 6

CK-12 Middle School Math Grade 8

CK-12 Middle School Math Grade 8 CK-12 Middle School Math aligned with COMMON CORE MATH STATE STANDARDS INITIATIVE Middle School Standards for Math Content Common Core Math Standards for CK-12 Middle School Math The Number System (8.NS)