SF - Math Steps, MI test, other review MATH INVENTORY. Week 3-8/28-9/1 - Standards: Lesson Objective/Plan Resources Section in Book Homework

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1 Unit: Number Sense Total Days: Wed, Aug 6, 07 - Thur, Aug, 7, 07 Fri, Aug 8, 07 Unit: Rational Numbers and Exponents Total Days: Week - Wed 8/6-8/8 - Standards: REVIEW: Review Syllabus & Review Week - Mon 8/ - 8/5 - Standards: N.Q.,,3 Lesson Objective/Plan C - PBIS training kids, SF - Math Steps, MI test, other review C - PBIS training kids, SF - Math Steps, MI test, other review Lesson Objective/Plan Brainteasers **7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Skip.. Words and Expressions MATH INVENTORY Unit: Rational Numbers and Exponents Total Days: Chapter Test Week 3-8/8-9/ - Standards: Lesson Objective/Plan **7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. **7.EE. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Include step justification.3 Variables and Expressions.4 Properties of Numbers **Preparation for 7.NS. of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.. Integers and Absolute Value

2 Unit: Rational Numbers and Exponents Total Week 4 -Tue 9/5-9/8 - Standards: Days: Labor Day Holiday Lesson Objective/Plan **7.NS. of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Possibly teach mathshell lesson instead of. &.3 (cont'd) ell.org/download.p hp?fileid=65. Adding Integers.3 Subtracting Integers Unit: Rational Numbers and Exponents Total Days: **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. Week 5-9/ - 9/5 - Standards: Lesson Objective/Plan.4 Multiplying Integers.5 Dividing Integers **7.RP..b.6 Graphing in.7 Words, Multiple representations Equations, Tables, construct simple equations and inequalities and Graphs to Lesson Study Unit: Rational Numbers and Exponents Total Days: Week 6-9/8-9/ - Standards: Lesson Objective/Plan Review & Test

3 **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. 3. Fractions and Decimals (Day ) **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. Classify Numbers, 9's rule 3. Rational Numbers Unit: Rational Numbers and Exponents Total Days: (Day ) Week 7-9/5-9/9 Standards: Lesson Objective/Plan **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. Classify Numbers, 9's rule 3. Rational Numbers 3 (Day &) **7.NS. of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 3.6 Adding and Subtracting Like Fractions SBAC Interims Unit: Rational Numbers and Exponents Total Days: Week 8-0/ - 0/6 - Standards: Lesson Objective/Plan 3 (Day 3) **7.NS. of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. 3.6 Adding and Subtracting Like Fractions

4 **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. **7.NS. Review & Test 3.3 Multiplying Rational Numbers 3.4 Dividing Rational Numbers Week 9-0/9-0/3 Standards: BENCHMARK MIDTERM Lesson Objective/Plan **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. 5. Ratios 5. Unit Rates 5.3 Complex Fractions

5 (Day ) Friday, 0/3/7 Friday, 0/3/7 **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. DEADLINE FOR FIRST BENCHMARK/MIDTERM EXAM DEADLINE FOR FIRST BENCHMARK/MIDTERM EXAM END OF FIRST QUARTER - GRADES DUE 5.4 Converting Rates Week 0-0/6-0/0 - Standards: Lesson Objective/Plan (Day ) **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. **7.RP. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks / mile in each /4 hour, compute the unit rate as the complex fraction ///4 miles per hour, equivalently miles per hour. 5.4 Converting Rates 5.5 Proportional and Nonproportional Relationships

6 **7.RP..a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Review & Mid-chapter Quiz 5.6 Graphing Proportional Relationships Week - 0/3-0/7 - Standards: Lesson Objective/Plan **7.RP..a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. 7.G. 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. **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Middle School PD 5.7 Solving Proportions 5.8 Scale Drawings and Models 5.9 Similar Figures Week - 0/30 - /3 - Standards: Lesson Objective/Plan

7 Review & Test **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Indirect measurement lab 5.0 Indirect Measurement 6. Using the Percent Proportion Week 3 - /6 - /0 - Standards: Lesson Objective/Plan **7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. **7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Veterans Day (/0) 6. Find Percent of a Number Mentally 6.3 Using the Percent Equation 6.4 Percent of Change

8 Week 4 - /3 - /7 - Standards: Lesson Objective/Plan 3 **7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. **7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 6.5 Discount and Markup 6.6 Simple and Compound Interest Unit: Linear Systems ( days) Week 5 - /0 - /4 - THANKSGIVING WEEK OFF Lesson Objective/Plan Week 6 - /7 - / - Standards: Lesson Objective/Plan Review & Test **7.NS. of multiplication and division and of fractions to multiply and divide rational numbers. **7.EE. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7. The Distributive Property 7. Simplifying Algebraic Expressions 7.3 Adding Linear Expressions 7.4 Subtracting Linear Expressions

9 Week 7 - /4 - /8 - Standards: Lesson Objective/Plan (day ) **7.EE. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Finding GCF Holt Algebra wksht (8-) 7.5 Factoring Linear Expressions (day ) **7.EE. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.5 Factoring Linear Expressions Review and Test? Week 8 - / - /5 - REVIEW FOR FINAL BENCHMARK Lesson Objective/Plan Do one day with onestep eqs and one day with mult/div 8. Solving Equations with Rational Coefficients Buffer Days to Catch up or give performance tasks FINALS WEEK WEEK 9 - /8 - / FINALS WEEK Lesson Objective/Plan Thursday, //7 DEADLINE FOR FIRST SEMESTER BENCHMARK # - FINAL EXAM END OF FIRST SEMESTER - WINTER BREAK - / - /5 BEGIN SECOND SEMESTER Week - TUE /9 - / - Standards: Lesson Objective/Plan

10 Monday, /8/7 Staff Inservice (Day ) STAFF INSERVICE DAY include special case (one whole side is a fraction) (Multi-step eqs) 8. Solving Two- Step Equations 8.3 Writing Equations 8.4 Two- Step Equations Week - TUE /6 - /9 - Standards: Lesson Objective/Plan Monday, /5/7 DAY OFF (Day ) HOLIDAY (Multi-step eqs) 8.4 Two- Step Equations 8.5 Solving Equations with Variables on Each Side Week 3 - MON / - /6 - Standards: Lesson Objective/Plan

11 Review and Quiz (Day ) ALL MATH PD One day on add/subt & one day on mult/div 8.6 Inequalities 8.7 Solving Inequalities Week 4 - /9 - / - Standards: Lesson Objective/Plan (Day ) One day on add/subt & one day on mult/div 8.7 Solving Inequalities 8.8 Solving Multi- Step Equations and Inequalities MATH INVENTORY DEADLINE FOR MI TESTING # and SBAC Interims Unit: Introduction to Sampling and Inference Week 5 - /5 - /9 - Standards: Lesson Objective/Plan Review and Test

12 7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book. 0. Measures of Center 7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book. 0. Measures of Variability 7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book. 0.3 Mean Absolute Deviation Unit: Introduction to Sampling and Inference Monday, //7 DAY OFF Week 5 - / - /6 - Standards: Lesson Objective/Plan HOLIDAY

13 **7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book. 0.4 Compare Populations **7.SP. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. 0.5 Using Sampling to Predict **7.SP.5 Understand that the probability of a chance event is a number between 0 and that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around / indicates an event that is neither unlikely nor likely, and a probability near indicates a likely event. 0.6 Probability of Simple Events **7.SP.7 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. Dice activity 0.7 Theoretical and Experimental Probability Unit: Introduction to Sampling and Inference Week 7 - /0 - /3 - Standards: Lesson Objective/Plan

14 Monday, /9/7 DAY OFF **7.SP.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. Middle School Lesson Study HOLIDAY 0.8 Probability of Compound Events Unit: Creating, Comparing, and Analyzing Geometric Figures Week 8 - /6-3/ - Standards: Lesson Objective/Plan Review and Test 7.G.4 **7.G.4 Know the formulas for the area and 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. **7.G.4 Know the formulas for the area and 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. Review area of basic shapes. Circumference. Area of Circles Unit: Introduction to Sampling and Inference Week 9-3/5-3/9 - Standards: Lesson Objective/Plan Monday 3/5 Tech Day (No School) **7.G.6 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..3 Area of composite figures

15 **7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. **7.G.6 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. Benchmark.4 Three- Dimensional Figures.5 Volume of Prisms /.6 Volume of Cylinders Friday, 3/9/8 DEADLINE FOR THIRD QUARTER BENCHMARK/MIDTERM EXAM Friday, 3/9/8 END OF THIRD QUARTER - GRADES DUE Unit: Introduction to Sampling and Inference Week 0-3/ - 3/6 - Standards: Lesson Objective/Plan **8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. no need to do spheres?? **7.G.6 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. PI DAY! Review and Test Unit: Rational Numbers and Exponents Total Week - 3/9-3/3 - Standards: Lesson Objective/Plan Days: Math PD (student free).7 Volume of Pyramids, Cones, and Spheres.8 Surface Area of Prisms

16 **8.EE. Know and apply the properties of integer exponents to generate equivalent numerical expressions. **8.EE. Know and apply the properties of integer exponents to generate equivalent numerical expressions. 4. Powers and Exponents 4. Negative Exponents SBAC Interims Unit: Rational Numbers and Exponents Total Days: Review and Quiz FRIDAY, 3/30/8 DAY OFF Unit: Rational Numbers and Exponents Total Days: Week - 3/6 - THU 3/9 - Standards: Lesson Objective/Plan **8.EE. Know and apply the properties of integer exponents to generate equivalent numerical expressions. Week 3-4/9-4/3 - Standards: Lesson Objective/Plan 8.EE. Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 0 to estimate very large or very small quantities, and to express how many times as much one is than the other. 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities HOLIDAY SPRING BREAK (4/ - 4/6) Youtube - Cosmic Eye 4.3 Multiplying and Dividing Monomials 4.4 Scientific Notation

17 3 8.EE. Know and apply the properties of integer exponents to generate equivalent numerical expressions. 8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 0 to estimate very large or very small quantities, and to express how many times as much one is than the other. 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities day on add/sub, day on mult/div, day mixed 4.5 Compute with Scientific Notation (Day ) 8.NS. 8.EE. 4.6 Square Roots and Cube Roots Unit: Rational Numbers and Exponents Total Days: Week 4-4/6-4/0 - Standards: Lesson Objective/Plan (Day ) 8.NS. 8.EE. Estimate roots 4.6 Square Roots and Cube Roots 8.NS. 8.NS. 8.EE. Compare real numbers Review and Test Unit: Review Week 5-4/3-4/7 - Standards: Lesson Objective/Plan Review and Test SBAC Review -Complex Fractions/Unit Rates -Proportional/Non-proportional SBAC Review -Unique Triangles Practice SBAC (0 minutes) SBAC Review -tax/discount & % of change 4.7 The Real Number System

18 Unit: Review Week 6-4/30-5/4 - Standards: Lesson Objective/Plan Practice SBAC (0 minutes) SBAC Review -Combine like terms with dist. property SBAC Review -Scale Drawings & properties SBAC Practice Performance Task (in pairs) --step eqs w/ rational numbers -Inequalities Unit: Review Week 7-5/7-5/ - Standards: Lesson Objective/Plan SBAC & PERFORMANCE TASK Unit: Lines, Angles & Triangles ( days) Week 8-5/4-5/8 - Standards: Lesson Objective/Plan Preparations for realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the 9. Functions **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing 3 (Day &) for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. MS PD?? 9. Representing Linear Functions 9.3 Constant Rate of Change and Slope Week 9-5/ - 5/5 - Standards: Lesson Objective/Plan

19 **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing 3 (Day 3) for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. **7.RP. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. Review and Quiz Necessary? Do not see "direct variation"...it's more "proportional" 9.3 Constant Rate of Change and Slope 9.4 Direct Variation 9.5 Slope- Intercept Form Week 0-5/ - 5/5 - Standards: Lesson Objective/Plan **8.EE.8 Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Systems by Graphing 9.6 Solve Systems of Equations by Graphing **8.EE.8 Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Systems by Subtitution 9.7 Solve Systems of Equations Algebraically (Substitution) Unit: Lines, Angles & Week - 5/8-6/ - Standards: Triangles ( days) Benchmark Lesson Objective/Plan

20 Wednesday, 6/6/8 DEADLINE FOR FINAL BENCHMARK/FINAL EXAM Wednesday, 6/6/8 END OF SEMESTER - GRADES DUE No review? - Chapter test? 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.. Angle & Line Relationships

21 **8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. Review of area of basic shapes. Triangles n/a. - Circumference and. - Area of Circles **7.G.6 Solve real-world and mathematical problems inolving area, volume and surace area of two- and three-dimensional objecs composed of triangles, quadrilaterals, polygons, cubes, and right prisms. **7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids..3 - Area of composite figures.4 - Three- Dimensional Figures **7.G.6 Solve real-world and mathematical problems inolving area, volume and surace area of two- and three-dimensional objecs composed of triangles, quadrilaterals, polygons, cubes, and right prisms.".5 - Volume of Prisms

22 **8.G.9 Know the formulas for the volumes of cones, cylindrs, and spheres and use them to solve real-world and mathematical problems. **8.G.9 Know the formulas for the volumes of cones, cylindrs, and spheres and use them to solve real-world and mathematical problems. Pyramids and Cones only (no spheres).6 - Volume of Cylinders.7 - Volume of Pyramids, Cones, and Spheres **7.G.6 Solve real-world and mathematical problems inolving area, volume and surace area of two- and three-dimensional objecs composed of triangles, quadrilaterals, polygons, cubes, and right prisms.".8 - Surface Area of Prisms Unit: Lines, Angles & Week 9-5/4-5/8 - Standards: Triangles ( days) Lesson Objective/Plan Slope-intercept review N/A

23 **8.EE.8 Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Systems by Elimination Holt Algebra N/A & Course 3 (6-3) wkshts **8.EE.8 Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Review and Quiz Systems using any method