Huron School District Core Curriculum Guide Unit Title: Grade Level: 7th Content Area: Decimals, Algebra, Statistics Math Month(s): August/September Content Standards: 7.A.1.1 Students are able to write and evaluate algebraic expressions using the set of whole numbers 7.A.1.2 Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions. 7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers. 7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line. 7.A.4.1 Students are able to write algebraic statements to represent patterns observed in real life situations using tables, graphs, and models. 7.M.1.1 Students are able to select, use and convert appropriate units of measurement for a situation including capacity and angle measurement. 7.S.1.1 Students are able to find the mean, median, mode, and range of a set of data. 7.S.1.2 Students are able to display data, using frequency tables, line plots, stemand-leaf plots, and make predictions from data displayed in a graph. Essential Questions: When should scientific notation be used? Which measure of central tendency is most representative of a specific set of data? Skills Students Will Be Able To… Problem solve-using story problems to demonstrate problem solving strategies Use powers and exponents to simplify expressions Evaluate expressions using the order of operations Substitute and evaluate whole numbers for variables Recognize associative, commutative, distributive and identity properties when evaluating expressions Recognize and extend patterns of sequences Select, use and convert appropriate units of measurement What types of data are most appropriate to be displayed in a histogram? How do measures of central tendency change as data values are added to a set Assessment How will you know if students have learned? Essential Vocabulary Exponent Order of Operations Base Operations Variable Coefficient Expression Constant Term Equation Number Line Algebra properties Identity Scientific Notation Associative Distributive Commutative Arithmetic Sequences Geometric Sequences Metric System Convert Meter Gram Kilogram Liter Mass Capacity Chapter review worksheets Pre and Post tests Frayer Model (organizer) Metric system conversion sheet Foldable for properties Star Math test – program on computer NWEA Testing Huron School District Core Curriculum Guide Calculate mean, median, mode and range for data Stem-andleaf plot Create, display, and analyze Box-and-whisker plots, bar graphs, and histograms Make predictions from data displayed in a graph Integers and Absolute value- Identify and evaluate positive and negative numbers Comparing and ordering integers – compare and order whole numbers Coordinate plane – demonstrate use of knowledge of the coordinate plane Add, Subtract, Multiply, Divide Integers Grade Level: Statistics Data frequency table Scale Interval Line graph Bar graph Histogram Scatter plot Line plot Outlier Clusters Gaps 7th Content Area: Stem-and-Leaf plots Box-and-Whisker Plot Lower quartile(LQ) Upper Quartile (UQ) Lower Extreme (LE) Upper Extreme (UE) Interquartile range Mode Measures of central tendency Range Mean Median Math Chapter Worksheets Pre and Post Testing Writing to Win Prompts Observations Oral Responses 7.NS.1.a Huron School District Core Curriculum Guide Grade Level: 7th Content Area: Unit Title: Integers and Algebra Math Month(s): October/November Content Standards: 7.A.1.1 Students are able to write and evaluate algebraic expressions using the set of whole numbers 7.A.1.2 Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions. 7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers. 7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line. 7.N.2.1. Students are able to add, subtract, multiply, and divide integers and positive fractions. Essential Questions: Why is the absolute value of a number positive? How can sums, differences, products, and quotients of integers be demonstrated to be positive, zero, or negative? Why is it important to apply properties when simplifying expressions? When are variable expressions used? Skills Students Will Be Able To… Write algebraic equations. Solve addition, subtraction, and multiplication of equations. Write integers and determine absolute value of an integer. Solve two-step equations o using order of operations to evaluate equations Translate and solve inequalities using whole numbers Write expressions and equations using variables. Solve equations using the properties of Equalities. Solve equalities. Represent functions using words, equations, and graphs. Calculate the slope of a line using ordered pairs or the slope formula. How can algebraic expressions and equations be written? When solving an equation, why is it important to perform identical operations on each side of equal sign? How is a solution to an inequality different than that of a linear equation? Assessment How will you know if students have learned? Essential Vocabulary 7.N.3.1. Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers. 7.A.4.1 Students are able to write algebraic statements to represent patterns observed in real life situations using tables, graphs, and models. 7.S.1.2 Students are able to display data, using frequency tables, line plots, stemand-leaf plots, and make predictions from data displayed in a graph. 7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions. Expression Inverse operations Inequalities Additive property Subtraction property Integer Graph Positive integer Negative integer Expression Inverse operations Solve Subtraction property of equality Addition property of equality Coefficient Inequality Coordinate plane Coordinate grid Y-axis X-axis Inverse Origin Ordered pair Y-coordinate X-coordinate Quadrant Absolute value Two step equation Input Output Function tale Domain Range Linear equation Slope Division property of equality Chapter review worksheets and tests Frayer Model (organizer) NWEA Test 7.NS.1a; 7.NS.1b; 7.NS.1c; 7.NS.1d; 7.NS.2a, 7.NS.2b 7.EE.1; 7.EE.2; 7.NS.1c; 7.NS.1d; 7.NS.2a Huron School District Core Curriculum Guide Grade Level: 7th Unit Title: Fractions Content Area: Math Month(s): November/December Content Standards: 7.N.2.1. Students are able to add, subtract, multiply, and divide integers and positive fractions. 7.N.3.1. Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers. 7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions. 7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers. 7.G.1.2 Students are able to identify, describe elements of geometric figures−altitudes, midpoints, bisectors, radii, diameters, and chords. 7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations). 7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements). 7.N.1.2. Students are able to find and use common multiples and factors of whole numbers. 7.M1.1.Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement. Essential Questions: How are fractions, decimals, and percents related? Skills Students Will Be Able To… Find prime factorization, including variables Find greatest common factor, including variables Simplifying fractions o find and use multiples and factors of whole numbers Convert and use fractions and decimals Convert and use fractions and percents Convert and use percents and decimals Find Least common multiples, including variables Compare and order rational numbers Manipulate fractions, percents, and decimals Assessment How will you know if students have learned? Essential Vocabulary Prime factorization Factor tree Prime number Composite number GCF Simplest form Repeating decimals Equivalent Fractions Bar notation Ratio Percent Multiple LCM LCD Rational numbers Terminating Decimals Factors Chapter review worksheets and tests Foldable on fractions Star math test – no calculators Huron School District Core Curriculum Guide Estimating with fractions. Add and subtract fractions and mixed numbers. Multiply fractions and mixed numbers. Solve equations with fractions, Divide fractions and mixed numbers. Change customary units of measurement. Find perimeter and area using fractions. Find circumference of a circle using fractions. Grade Level: Compatible numbers LCD GCF Reciprocal Multiplicative inverse Pound Ounce Ton Cup Pint Estimate Unlike fractions 7th Content Area: Quart Gallon Perimeter Area Circumference Radius Diameter Center Circle Like fractions Mixed number Improper fractions Math Chapter Review Worksheets Pre and Post Testing Fraction Foldable Note taking STAR Math Test Huron School District Core Curriculum Guide Grade Level: 7th Content Area: Unit Title: Proportional Reasoning Content Standards: Month(s): January/February 7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions. Essential Questions: What makes quantities proportional? What is the difference between theoretical and experimental probabilities of an event? Skills Students Will Be Able To… Write, identify and use ratios in simplest form. Compare, identify and use rates in simplest form. Set up and solve proportions Convert within fractions, decimals and percents Find and use percents greater than 100% and less than 1% Identify percent of a number Set up and manipulate the percent proportion Estimate percent by using fractions and decimals Solve problems using percent equation Predict actions of a larger group by using a sample Find percent of increase or decrease Solve problems involving sales tax and discount Solve problems involving simple interest rate Identify simple events Construct and use Tree diagrams Understand and use the Fundamental counting principle Comprehend and use Permutations Comprehend and use Combinations Identify and use theoretical and experimental probability Find probability of independent and dependent events Math 7.S.2.1 Students are able to calculate probability, given a sample space, with a known number of outcomes. 7.A.3.2. Students are able to model and solve multi-step problems involving rates. What is the fundamental counting principle and its role in determining the probability of compound events? How can proportion help solve distance problems? How can a scale factor be used in solving problems? Essential Vocabulary Equivalent ratios Ratio Rate Unit rate Proportion Scale factor Scale model Percent equation Percent of change Percent of increase/decrease Survey Outcome Simple event Probability Random Complementary event Tree diagram Sample space Cross product Percent Percent proportion Part Base Scale Scale drawing Sales tax Discount Simple interest Principal Random sample population Permutation Factorial Combination Experimental probability Theoretical probability Fundamental counting principle Assessment How will you know if students have learned? Chapter review worksheets and tests Chapter review worksheets and tests NWEA Test Huron School District Core Curriculum Guide Unit Title: Grade Level: 7th Content Area: Geometry & Measurement Math Month(s): March/April Content Standards: 7.G.1.2 Students are able to identify, describe elements of geometric figures−altitudes, midpoints, bisectors, radii, diameters, and chords. 7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations). 7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements). 7.G.1.1 Students will be able to identify, describe, and classify polygons up to ten sides. Identifying relationships among triangle, quadrilaterals, and sketching two-dimensional figures. Essential Questions: How do polygons that are similar compare to polygons that are congruent? Why can some quadrilaterals be classified in more than one category? How does a transformation of a figure affect size, shape, and position of a figure? How are volume and surface area related? How does the column of a rectangular prism change when one of the attributes is increased? Skills Students Will Be Able To… Classify and illustrate angles Construct and interpret circle graphs Identify the classification to which a quadrilateral belongs, using deductive reasoning and inference Identify and classify triangles and quadrilaterals Similar figures Identify and sketch Polygons and tessellations Demonstrate ways that shapes can be transformed – translations, reflections Essential Vocabulary Angles Degrees Vertex Acute angles Right angles Obtuse angles Straight angles Vertical angles Congruent angles Supplementary angle Complementary angle Triangle Acute triangle Obtuse triangle Right triangle Congruent triangle Scale Isosceles Equilateral Quadrilateral Parallelogram Rectangle Square Rhombus Trapezoid Similar figures Indirect measurement Polygons Pentagon Hexagon Heptagon Octagon Nonagon Decagon Regular polygon Transformation Tessellation Reflection Translations Line of symmetry Assessment How will you know if students have learned? Chapter review worksheets and tests Dakota Step Test?? STAR Math Huron School District Core Curriculum Guide Find squares of numbers and square roots of perfect squares Estimate square roots Find length using Pythagorean theorem Calculate areas of parallelograms, triangles, circles, and trapezoids Find areas of complex figures Find probability using area models Grade Level: Square Perfect squares Square root Radical sign Irrational number Leg Complex figure 7th Content Area: Probability Hypotenuse Pythagorean theorem Base Height Trapezoid Pi Math Huron School District Core Curriculum Guide Unit Title: Grade Level: 7th Content Area: Geometry & Measurement/Pre-Algebra Math Month(s): May Content Standards: 7.G.1.2 Students are able to identify, describe elements of geometric figures−altitudes, midpoints, bisectors, radii, diameters, and chords. 7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations). 7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements). 7.G.1.1 Students will be able to identify, describe, and classify polygons up to ten sides. Identifying relationships among triangle, quadrilaterals, and sketching two-dimensional figures. Essential Questions: How are volume and surface area related? How does the column of a rectangular prism change when one of the attributes is increased? Skills Students Will Be Able To… Draw a 3-D figure given top, side, front views Find the volumes of rectangular prisms and cylinders Find the surface area of rectangular prisms Find surface area of cylinders Determine and apply significant digits in a real-life context. Assessment How will you know if students have learned? Essential Vocabulary Solid Volume Cylinder Surface area Circumference Precision Precision units Significant digits Chapter review worksheets and tests Star math test – no calculators NWEA Test