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7th Grade Math 4th Nine Weeks Lesson Standard Learning Targets Student Friendly Statements Essential Question Tennessee Additional Assessments Academic Resources Vocabulary NS.7.1 Apply the operations to whole I can evaluate expressions. What is a complex Apply and extend previous understandings of numbers, decimals and fraction? operations with fractions to add, subtract, fractions. multiply, and divide rational numbers. Apply Extend to include roots and and extend previous understandings of addition complex fractions. and subtraction to add and subtract rational Develop and analyze algorithms numbers; represent addition and subtraction on and compute efficiently with a horizontal or vertical number line diagram. integers and rational numbers. EE.7.1 Use linear equations to solve I can find slope. What is the slope Use properties of operations to generate problems and interpret the intercept form? equivalent expressions. Apply properties of meaning of slope, m. and the y- operations as strategies to add, subtract, factor, intercept, b in fx=mx+b in terms and expand linear expressions with rational of the context. coefficients. EE.7.4 Make tables of inputs x and I understand fx and can Solve real-life and mathematical problems using outputs fx for a variety of rules create tables to define fx. numerical and algebraic expressions and that include rational numbers as equations. Use variables to represent quantities inputs. in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. EE.7.4.a Solve contextual problems I can solve two step Solve word problems leading to equations of the involving two-step linear equations. form px + q = r and p(x + q) = r, where p, q, and r equations. are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? 7th Grade Math 4th Nine Weeks EE.7.4.b Understand that when solving I can solve inequalities. Solve word problems leading to inequalities of linear inequalities, multiplication the form px + q > r or px + q < r, where p, q, and or division by a negative r are specific rational numbers. Graph the reverses the inequality symbol. solution set of the inequality and interpret it in the context of the problem. For example, As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions. G.7.1 Scale models I can use scale factor to What is scale factor? Draw, construct, and describe geometrical increase or decrease the figures and describe the relationships between dimensions of a model. them. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. G.7.2 Constructing triangles I can construct triangles Name the properties of a Draw, construct, and describe geometrical based on side lengths or triangle. figures and describe the relationships between angle measures. them. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. G.7.3 Congruent/ Similar figures I can use proportions to What shapes result when Draw, construct, and describe geometrical Nets determine congruency or _______ is dissected? figures and describe the relationships between similarity of figures. them. Describe the two-dimensional figures I can dissect 3-d objects to that result from slicing three-dimensional determine2-d figures, as in plane sections of right rectangular characteristics. prisms and right rectangular pyramids. 7th Grade Math 4th Nine Weeks G.7.4 Perimeter, Area, and volume I can find the Perimeter, What are the formulas for Solve real-life and mathematical problems and how they relate to real area and volume of perimeter, area and involving angle measure, area, surface area, and world. geometrical shapes and volume? volume. Know the formulas for the area and objects. circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. G.7.5 Angles I can find missing angle How do angles and sides Solve real-life and mathematical problems Surface Area measures, given some relate? involving angle measure, area, surface area, and information. volume. Use facts about supplementary, I can use my knowledge of complementary, vertical, and adjacent angles in angles to help me solve real a multi-step problem to write and solve simple world problems. equations for an unknown angle in a figure. G.7.6 Volume and Surface Area of 3-d I can find surface area of 3- What is the formula for Solve real-life and mathematical problems objects. d objects. surface area? involving angle measure, area, surface area, and volume. Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. SP.8 Experimental Probablility I can use a tree diagram to What is experimental Investigate chance processes and develop, use, Possible Outcomes show possible outcomes. probability? and evaluate probability models. Find Tree Diagrams probabilities of compound events using organized lists, tables, tree diagrams, and simulation. SP.7.8.a Compound events I can find probability based What are compound Understand that, just as with simple events, the on 2 or more outcomes. events? probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. 7th Grade Math 4th Nine Weeks SP.7.8.b Sample Spaces I can use sample spaces to What are sample spaces. Represent sample spaces for compound events estimate total outcomes. using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event. SP.7.8.c Frequencies of Compound I can use compound events Design and use a simulation to generate Events. to theorize the frequency frequencies for compound events. For example, that something will occur. use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?