GRADE LEVEL: SEVENTH SUBJECT: MATH DATE: GRADING PERIOD: QUARTER 3 MASTER COPY

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1 GRADE LEVEL: SEVENTH SUBJECT: MATH DATE: GRADING PERIOD: QUARTER 3 MASTER COPY CONTENT STANDARD INDICATORS SKILLS ASSESSMENT VOCABULARY ISTEP COMPUTATION Percent of Change and Discounts Applications of Percents Percent Proportion/Perc ent Equation Simple Interest 7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease, and percent error. Solve ratio and percent problems. Construct proportions. Solve problems arising from everyday life. Use formulas to evaluate situations. Calculate accurately. Vocab Last year, Kim earned $8 per hour at her job. This year, Kim earns $10 per hour at her job. What is the percent of increase, in dollars earned per hour, from last year to this year? Commission Commission rate Interest Percent of change Percent of decrease Percent of increase Principle Rate of interest Simple interest 7.C.8: Solve real world problems with rational numbers by using one or two operations. Solve real world problems with rational numbers. a) The temperature in town A is 3.5 degrees Celsius. The temperature in town B is 2.5 times colder. What is the temperature in town B?

2 COMPUTATION Conversions Within and Between Measurement Systems 7.C.8: (cont.) b) Larry bought 3 pounds of apples and one bag of oranges at the store. The apples cost $1.75 per pound and the bag of oranges cost $2.99. What was the total cost of Larry s purchase? Do not include tax. 7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease, and percent error. Evaluate real world situations involving ratios and percents accurately. Construct proportions. Solve proportions. Vocab Capacity Customary system Gram Length Liter Mass Meter Metric system PS.6: Attend to precision 7.C.8: Solve real world problems with rational numbers by using one or two operations. Calculate accurately. Solve real world problems involving rational numbers. Use one or two operations. PS.6: Attend to precision. Calculate accurately.

3 Perimeter and Circumference Area of Circles Area of Irregular Figures Introductions to Three Dimensional Figures Volume of Prisms and Cylinders Surface Area of Prisms and Cylinders 7.GM.5: Understand the formulas for area and circumference of a circle and use them to solve realworld and other mathematical problems; give an informal derivation of the relationship between circumference and area of a circle. PS.4: Model with mathematics. PS.5: Use appropriate tools strategically. 7.GM.6: Solve real world and other mathematical problems involving volume of cylinders and three dimensional objects composed of right rectangular prisms. Use formulas to solve problems involving area and circumference of a circle. Perform accurate calculations. Model geometric figures. Use diagrams, two way tables, graphs, flowcharts, formulas to map relationships between quantities. Use paper/pencil to construct models. Solve real world problems involving volume of cylinders and 3 dimensional objects. Solve problems using representations. Perform accurate calculations. Show correct units of measurement. Vocab Ed has swimming pool in the shape of a cylinder. The bottom of the pool is circular with a radius of 15 feet. What is the length, in feet, of the distance around the bottom of the swimming pool? What is the area of the bottom of the swimming pool? Becky needs to transfer liquid to a vase using a cylindrical container with a radius of 5 centimeters and a height of 10 centimeters. Area Circumference Cylinder Irregular figure Perimeter Prism Pyramid Surface Area Volume

4 PS.4: Model with mathematics. PS.5: Use appropriate tools strategically. Use diagrams, two way tables, graphs, flowcharts, formulas to map relationships between quantities. Use paper/pencil to construct models. The vase has a volume of 2,800 cubic centimeters, and she will fill the vase to 75% capacity. Becky will completely fill the container each time it is used to fill the vase. How many times will Becky need to fill the container to fill the vase to 75% capacity?

5 7.GM.7: Construct nets for right rectangular prisms and cylinders and use the nets to compute the surface area; apply this technique to solve real world and other mathematical problems. PS.4: Model with mathematics Create visual representations of models involving surface area of rectangular prisms and cylinders. Perform accurate calculations. Solve real world problems. Use diagrams, two way tables, graphs, flowcharts, formulas to map relationships between quantities. a) Joe is wrapping a gift in a box in the shape of a right rectangular prism. The dimensions of the box are 5 inches by 6 inches by 2 inches. Construct a net of this prism and determine the minimum amount of wrapping paper needed to completely wrap the gift. b) A can of soup in the shape of a cylinder is 10 centimeters tall and has a diameter of 6 centimeters. A label covers the entire can except for the top and bottom. YES

6 7.GM.7: (cont.) Construct a net of this cylinder and determine the area covered by the label. What is the total surface area of the can including the top and bottom? ALGEBRA AND FUNCTIONS Combining Like Terms Solving Two Step Equations Solving Multi Step Equations Solving Equations with Variables on Both Sides Solving Inequalities by Adding or Subtracting Solving Inequalities by Multiplying or Dividing 7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers. Represent real world problems using equations of these forms and solve such problems. Write equations to describe a situation. Make precise calculations. Explain steps to solving a problem Vocab Inequalities Like terms Yes+

7 ALGEBRA AND FUNCTIONS Solving Multi Step Inequalities 7.AF.2: (cont.) Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month? 7.AF.3: Solve inequalities of the form px +q (> or ) r or px + q (< or ) r, where p, q, and r are specific rational numbers. Represent realworld problems using inequalities of these forms and solve such problems. Graph the solution set of the inequality and interpret it in the context of the problem. Solve real world problems involving inequalities. Construct line graphs to represent a situation Amanda has $45 to spend on flowers. She buys some roses for a total of $19 and will spend the rest on lily flowers. Each lily flower costs $3. Write an inequality that can be used to determine the number of lily flowers Amanda can buy. How many lily flowers can Amanda buy? Yes