Unit Length Unit / Skills We are learning to Summative Skills Instructional Strategies Resources Assessments Formative/Summative (F/S) Independent/Group (I/G) Introduction and Probability We are learning to identify shared characteristics and make generalizations across a set (7.ELA.SL.1) determine if a game of chance is fair (7.ELA.SL.) find unknowns (7.EE.b) make predictions using proportional reasoning (7.ELA.SL.1) investigate number patterns created by fractions and decimals (7.ELA.SL.) to understand probability (7.SP.5, 6) make predictions based on experimental data (7.SP.6, 7b) describe what happens to probability when the sample space changes (7.SP.7a) convert fractions into percents (7.RP.) represent fractions in different ways (7.SP.8a) add fractions with unlike denominators calculate probabilities of compound events where either one outcome or the other is desired (7.SP.8a) work with compound events, compare probabilities and find missing portions (7.SP.8a) Checkpoint 1: Finding area and perimeter of polygons /Posters game markers pennies calculators colored cubes paper bags computer with internet access Fractions and Integer Addition convert fractions to decimals and identify them as repeating or terminating decimals (7.NS.2d) compose and decompose numbers in multiple ways (preparation for 7.NS.1d) add integers and rational numbers (7.RP.2d, 7.NS.1b, d) add integers (7.RP.2d, 7.NS.1b, d) understand multiplication as repeated addition (7.NS.2a) multiply positive fractions, decimals and percents (7.NS.1b) /Posters calculators integer tiles graph paper number lines 1
learning to multiply mixed numbers. (7.NS.2a) plot points on a coordinate graph (preparation for 7.RP.2a b) fix a scaling (preparation for 7.RP.2a b) Checkpoint 2: Multiple representations of portions Arithmetic Properties use order of operations and parentheses for grouping numbers (7.NS.1d) identify terms with sums inside grouping symbols and simplify those expressions (preparation for 7.NS.1b) subtract integers using + and tiles (7.NS.1b) connect concepts of addition and subtraction s (7.NS.1b) multiply positive and negative integers (7.NS.2a c) multiply decimal numbers (7.NS.2a) add, subtract, multiply and divide integers (7.NS.) divide rational numbers (7.NS.2b, ) use the standard algorithm for decimal division (7.NS.) use the Commutative and Associative Properties for Addition (7.NS.1d, 7.NS.2c, ) Checkpoint : Multiplying fractions and decimals number cubes integer tiles poster paper game markers number lines Proportions and Expressions identify corresponding sides of similar figures and compare their ratios (7.G.1) solve problems involving scale drawings (7.G.1) identify the difference between proportional and other linear relationships (7.RP.2a) create tables and graphs, and identify proportional relationships (7.RP.2a, 2d) calculate unit rates and solve word problems involving proportional relationships (7.RP.1, 2) graph paper grid poster paper algebra tiles expression mats 2
connect all the representations of a proportional relationship (7.RP.2) simplify expressions by combining like terms (7.EE.1) model and use the Distributive Property (7.EE.1) simplify expressions by combining like terms and using the Distributive Property (7.EE.1) Probability and Solving Word Problems use part whole relationships to find percentage s find and use percentages, portions and wholes analyze probability games to determine if they are fair or unfair (7SP.7a) find experimental probabilities of complex compound events (7.SP.7b, 8c) find probabilities of compound independent events (7.SP.6) use probability tables to find all possible outcomes and calculate probabilities (7.SP.8b) use probability trees to model outcomes of compound events (7.SP.8a) calculate probabilities of events that are not equally likely (7.SP.8a b) represent relationships in pictures and diagrams (preparation for 7.EE.) use the 5 D Process to solve word problems. (7.EE.) Checkpoint 5: Order of operations Walk and Talk playing cards random number generators (dice or online generators) coins, two per team number cubes (dice) spinners (CPM) 5 D Process Template index cards grid paper
Solving Inequalities and Equations compare expressions on an expression mat using legal move s (preparations for 7.EE.a b) compare quantities with variables (preparation for 7.EE.a b) find and represent solutions to inequalities on a number line (preparation for 7.EE.a b) solve one variable inequalities and express solutions using words, graphs and symbols (7.EE.b) solve equations (7.EE.a) check solutions and use the Distributive Property to solve equations (7.EE.a) use formal notation to record work when solving equations or simplifying expressions (7.EE., a) use the 5 D Process to write equations from word problems (7.EE., a) define variables and write and solve equations (7.EE., a) solve equations with infinite or no solutions (7.EE.a) choose a solving strategy (7.EE.a) Checkpoint 6: Writing and evaluating algebraic expressions algebra tiles Expression Comparison Mat poster graph paper sticky dots Equation Mat tape poster paper Proportions and Percents use the relationship between distance, rate and time use multiplication to scale a quantity (7.RP.2d, 7.EE.2) use different multipliers to find discount and increase (7.RP.2d, 7.NS., 7.EE.2) solve equations with fraction and decimal coefficients (7.RP.2d, 7.NS., 7.EE.2) create integer coefficients when solving equations create integer coefficients using Fraction Busters (7.RP.2d, 7.EE.2, a) find percent increase and decrease of a number (7.RP.2d, 7.EE., a) find simple interest (I=prt ) (7.RP.2d, ) butcher paper wind up toys meter sticks stopwatches
find missing information in proportional relationships use different strategies for solving proportions Checkpoint 7A: Simplifying expressions Checkpoint 7B: Data displays Statistics and Angle Relationships use and understand precision in measurement (7.SP.) compare two populations data distributions (7.SP.) analyze methods of sampling and critique how well they represent a certain population (7.SP.1) use random sampling to draw inferences about a population (7.SP.2, ) understand what angles are and how to measure them (preparation for 7.G.5) classify angles and angle pairs, and use angle pair properties to write and solve equations (7.G.5) use math tools and technology to draw geometric shapes with given conditions (7.G.2) construct triangles from three measures of angles or sides (7.G.2) Checkpoint 8: Solving multi step equations long measuring tapes envelopes scissors protractors Circles and Volume graph the relationship between circumference, diameter and p. (7.G.) find the area of a circle (7.G.) calculate areas composed of rectangles, triangles and circles (7.G., 7.G.6) find surface area and volume of rectangular prisms and investigate their relationship (7.G.6) describe the 2 d shapes resulting from slicing d figures (7.G.) find volume of a prism (7.G.6) find volume of non rectangular prisms (7.G.6) Checkpoint 9: unit rates and proportions Pairs Check Can of tennis balls centimeter cubes cereal boxes clay string, thread, or dental floss scissors tape computers construction paper /colored pencils Downloaded for website, 8/15/1 5