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First Quarter Sisseton Middle School Curriculum Map Grade: 7 Subject: Intervention Math (Deb Thompson) Content Standards Learning Targets Assessments 7.S.1.1. (Comprehension) Students are able to find the mean, median, mode, and range of a set of numbers. Define, discuss, and understand the meanings of the vocabulary words: Mean, Median, Mode, and Range. From a set of data: 1. Calculate (find) the mean. 2. Calculate (find) the median. 3. Find the mode. 4. Calculate (find) the range. Achievement Series Forms A & B Mean: # 4, 6 Median: #5, 7 Mode: #1 Range: #2, 3 7.S.1.2. (Application) Students are able to display data, using frequency tables, line plots, stem-andleaf plots, and make predictions from data displayed in a graph. Define, discuss, and understand the meanings of the vocabulary words: Frequency Table, Stemand Leaf Plot, Line Plot. Display (represent) data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph. Achievement Series Forms A & B Frequency Table: # 1, 5 Stem-and-Leaf Plot: #2, 4 Line Plot: # 3, 6 Define, discuss, and understand the meanings of the vocabulary words: Sample Space and Specific outcome. Given the possible outcome of an event (sample space),write (find) the probability of a specific outcome as a decimal, fraction, and percent. Achievement Series Forms A & B Probability written as percent: #1, 3 Probability written as decimal: #2 Probability written as fraction: # 4, 5, 6 STATISTICS AND PROBABILITY Indicator 1: Use statistical models to gather, analyze, and display data to draw conclusions. Indicator 2: Apply the concepts of probability to predict events/outcomes and solve problems. 7.S.2.1. (Comprehension) Students are able, given a sample space, to find the probability of a specific outcome. GEOMETRY Indicator 1: Use deductive and inductive reasoning to recognize and apply properties of geometric properties. 7.G.1.1. (Application) Students are able to identify, describe, and classify polygons having up to 10 sides. Define, discuss, and understand the meanings of the vocabulary words: Polygon, Triangle, Quadrilateral, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon. Identify/name/classify a polygon with up to 10 sides. Explain (describe) the relationships among quadrilaterals. Explain (describe) the relationships among different types of triangles. Achievement Series Forms A & B Polygons: #1, 2, 3, 4, 5 Relationships among quadrilaterals: #6,7 Relationships among triangles: #8, 9, 10 Second Quarter Sisseton Middle School Curriculum Map Grade: 7 Content Standards Subject: Intervention Math (Deb Thompson) Learning Targets Assessments Name and classify (identify) and explain (describe) the definitions of: Achievement Series GEOMETRY (CONTINUED FROM 1ST QUARTER) Indicator 1: Use deductive and inductive reasoning to recognize and apply properties of geometric figures. 7.G.1.2. (Knowledge) Students are able to identify and describe elements of geometric figures. Forms A & B Altitude of a polygon. Altitude # 2, 10, 14, 19, 21 Midpoint of a line segment. Midpoint # 1, 9, 15 Bisector of an angle or a line segment. Bisector # 4, 11, 17, 18, 20, 22 Radius of a circle. Radius # 5, 7, 8 Diameter of a circle. Diameter # 3, 13 Chord of a circle. Chord # 6, 12, 16 Indicator 2: Use properties of geometric figures to solve problems from a variety of perspectives. 7.G.2.1. (Application) Students are able to demonstrate ways that shapes can be transformed. Determine (demonstrate) if a shape/picture has been: Achievement Series Translated (transformation). Forms A & B Reflected (transformation). Translation #3, 5 Rotated (transformation). Reflection # 6, 7 Rotation # 1, 2, 4, 8 NUMBER SENSE Indicator 1: Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers. 7.N.1.1. (Comprehension) Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions. Represent (write) numbers in a variety of forms by describing (representing a situation in the correct number form), ordering, and comparing (determining if a number is greater than, less than, or equal to another number) integers, decimals, percents, and fractions. Achievement Series Forms A & B Integers # 6, 7, 8, 10 7.N.1.2. (Application) Students are able to find and use common multiples and factors of whole numbers. Ratio # 3, 4 Converting and Comparing #1, 2, 5, 9 Find (determine) and use (apply) common multiples and factors of whole numbers. Use divisibility rules for 2, 3, 4, 5, 6, 9, and 10. Achievement Series Forms A & B Indicator 2: Apply number operations with real numbers and other number systems. Common multiples/LCM # 3, 5, 6, 9, 13, 14 Factors #2, 4, 8, 10 Divisibility rules # 1, 7, 11, 12 7.N.2.1. (Application) Students are able to add, subtract, multiply, and divide integers and positive fractions. Add, subtract, multiply and divide integers and positive fractions. Achievement Series Forms A & B Integers (add./subt.) # 8, 9, 10, 19, 20, 21 Integers (mult./div.) # 1, 2, 3, 4, 5, 6, 7 Pos. Fractions (add./subt.) # 11, 12, 15, 16, 24, 25 Pos. Fractions (mult./div.) # 13, 14, 17, 18, 22, 23 Third Quarter Sisseton Middle School Curriculum Map Grade: 7 Content Standards Subject: Intervention Math (Deb Thompson) Learning Targets Assessments Apply (use) estimation, guess and check, make a table or organized list, work a simpler problem, look far a pattern, (strategies) to find the solution for (solve) one-step and two-step problems involving positive fractions and integers. Achievement Series NUMBER SENSE (CONTINUED FROM 2ND QUARTER) Indicator 3: Develop conjectures, predictions, or estimations to solve problems and verify or justify the results. 7.N.3.1. (Application) Students are able to use various strategies to solve one and two step problems involving positive fractions and integers. Forms A & B Positive fractions #1, 2, 3, 5, 6, 8, 10, 11, 13 Integers # 4, 7, 9, 12, 14, 15 ALGEBRA Indicator 1: Use procedures to transform algebraic expressions. 7.A.1.1. (Application) Students are able to write and evaluate algebraic expressions using the set of whole numbers. Write algebraic expressions from words. Find the value of (evaluate) an algebraic expression using a given value. Achievement Series Use the order of operations on the set of whole numbers. Forms A & B Value/Alg. Expression # 1, 2, 3, 7, 8 Expressions/words # 4, 5, 6, 9, 10, 11, 12, 13 7.A.1.2. (Knowledge) Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions. Identify (recognize) associative, commutative, distributive, and identity properties involving algebraic expressions. Achievement Series Forms A & B Assoc. Property # 9, 10, 11, 12 Comm. Property # 1, 2, 3, 4 Dist. Property # 13, 14, 15, 16 Identity property # 5, 6, 7, 8 Indicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities. 7.A.2.1. (Application) Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, Translate (write) words into equations. with one variable, using the set of whole numbers. Translate (write) words into inequalities. Find the solution (solve) using inverse operations for one-step equations involving integers. Find the solution (solve) using inverse operations for one-step inequalities involving whole numbers. Achievement Series Forms A & B One-step equations # 1, 2, 3, 4, 5, 6, 8, 9, 15, 18, 19 Indicator 3: Interpret and develop mathematical models. 7.A.3.1. (Application) Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line. Solving inequalities # 7, 10, 11, 12, 13, 14, 16, 17 Name the coordinates of a given point in any and all of the quarters (quadrants) of a coordinate plane. Given an ordered pair, locate the point in all of the quarters of the coordinate plane and be able to graph in any quadrant. Graph an inequality on a number line. Achievement Series Forms A & B Coordinate Plane # 49, 50, 51, 52, 53, 54, 55, 58, 61, 62 Inequalities (Graph) # 56, 57, 59, 60 Fourth Quarter Sisseton Middle School Curriculum Map Grade: 7 Content Standards Subject: Intervention Math (Deb Thompson) Learning Targets Assessments Set up and solve multi-step problems involving Better Buy and Unit Rate. Achievement Series ALGEBRA (CONTINUED FROM 3RD QUARTER) Indicator 3: Interpret and develop mathematical models. 7.A.3.2. (Application) Students are able to model and solve multi-step problems involving rates. Forms A & B Better Buy: Unit Rates # 1, 2, 3, 7, 8, 9, 10 Example: Better Buy #4, 5, 6 Which represents the least expensive price per candy bar? a. 3 candy bars for $1.00. b. 4 candy bars for $1.50. c. 5 candy bars for $2.00. d. 6 candy bars for $2.50. Unit Rates: Example: Tell which rate is greater: Fred rollerblades 4 miles in 32 minutes. Eden rollerblades 2 miles in 18 minutes. Indicator 4: Describe and use properties and behaviors of relations, functions, and inverses. 7.A.4.1. (Application) Students are able to recognize one-step patterns using tables, graphs, and models and create one-step algebraic expressions representing the pattern. Look at a chart (table), scatter plot (graph), or expression (model) and: 1. Identify (recognize) a one-step (one-operation) pattern. Achievement Series 2. Write (create) a combination (algebraic expression) of numbers, letters (variables) and operations. One-Step Pattern: # 1, 2, 3, 4, 5, 6 3. Write (create) an algebraic expression. Forms A & B Arithmetic and Geometric Sequencing: # 7, 8, 9, 10.11. 12 Algebraic Expression: # 13, 14, 15, 16, 17, 18, 19, 20, 25, 26, 27, 28 Scatter plots: # 21, 22, 23, 24 MEASUREMENT Indicator 1: Apply measurement concepts in practical applications. Measure (use) length, capacity, and mass in the metric system. 7.M.1.1. (Comprehension) Students are to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement. Achievement Series Measure (use) length, capacity, and weight in the U.S. customary system. Forms A & B Angle Measurement: #1, 4, 5 Measure (use) angles less than or equal to 180 degrees to the nearest degree. Metric measurement: # 2, 3, 6 Convert within the metric system for kilo-thru milli-. Labels: # 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24 Convert within the U.S. customary system for capacity, weight, and length. U.S. customary measurement: # 21, 22, 23 Choose the correct unit to label length, capacity, and mass in the metric system and U.S. customary system. U.S. customary conversion: #25, 27, 29, 31, 33, 34 Metric conversion: # 26, 28, 30, 32, 35, 36, 37, 38, 39, 40, 41 Find (calculate) the perimeter for parallelograms, triangles, and trapezoids. Achievement Series 7.M.1.2. (Comprehension) Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements). When given the formula, find (calculate) the area for: circles, parallelograms, triangles, and trapezoids. Estimate the area of an irregular shape by using what is known about area and perimeter. Use the correct unit to label perimeter, circumference, and area. Forms A & B Area of irregular shapes: # 1, 2, 3, 6, 7 Perimeter: # 4, 5, 11, 12, 15, 16, 17, 18, 19, 20, 27 Area: # 8, 9, 10, 14, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34 Circumference: # 13, 21, 22