When planning lessons make sure to note which sections are considered Major Cluster, supporting clusters, and additional clusters. Major clusters should be given more time so that students can truly grasp concepts and be successful with these concepts. MCSD Curriculum Map – 7th Grade Major Clusters (Green) Supporting Clusters (Pink) Additional Cluster (white) Rational Numbers & Equations August- November Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure Look for and express regularity in repeated reasoning. The first sets of Lessons 1-7 are considered to be prior grade level content: Recommendation is for students NOT to use calculators. Recommendation is to give Pre-test to see which lessons need to be covered and which ones can be skipped over. RTI for students that are identified as outliers to class. Suggested use for Study Island or Khan Academy lesson for RTI students. Unit 1 Positive Rational Numbers Pre-q Lessons 1 and 2 CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT PR 4. NF.1 – L1. Simplifying fractions L2. Writing mixed numbers as improper Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math BMCC Math 25 textbook Oregon Focus Lessons 1-2 Khan Academy – Fractions in lowest terms Equivalent fractions Learning Targets: Common Assessments When will you teach the concepts and skills? Block 1 Form B along with problem solving work sample at end of unit lessons. fractions and vice-versa Pre-q Lesson 3 5.NF.1/5.NF.2 – L3. Add and subtract fractions with and without common denominators Converting Mixed Numbers to Improper Fractions Mixed numbers and improper fractions Proper and Improper Fractions OFocus – Lesson 3 Study Island – 2007 Grade 5 Adding & Subtracting Fractions Khan Academy – Adding Fractions with Like Denominators Adding Fractions with Unlike Denominators Subtracting Fractions Adding and subtracting fractions Pre-q Lesson 4 6.NS.1/5.NF.6 – L4. Multiply and divide fractions. OFocus – lesson 4 Study Island- 2007 Grade 6 Multiplication & Division of Fractions Khan AcademyMultiplying Fractions Dividing fractions Dividing Fractions Word Problem Pre-q Lesson 5 6.NS.1/5.NF.1 – L5. Add, subtract, multiply, and divide mixed numbers. OFocus – Lesson 5 Khan Academy Adding Mixed Numbers with Unlike Denominators Subtracting Mixed Numbers Subtracting Mixed Numbers 2 Adding Mixed Numbers Word Problem Multiplying Fractions and Mixed Numbers Dividing Mixed Numbers and Fractions Multiplying Mixed Numbers Dividing Mixed Numbers and Fractions Pre-q Lessons 6 & 7 6.NS.3 – L6. Add, subtract, multiply, and divide decimals. OFocus lessons 6 and 7 Study Island – 2002 Grade 5 - Addition & Subtraction – both decimals and fractions. 2002 Grade 5 - Multiplication & Division – just decimals Khan Adacemy – Adding Decimals Subtracting Decimals Multiplying Decimals Dividing Decimals Unit 2 Integers CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT Pre-q Lesson 8 6.NS.5 – L8. locate integers on a numbers line and their opposites. Find the absolute value of numbers. Pre-q Lesson 9 6.NS.7 – L9. Compare and Order Integers Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math Oregon Focus – lesson 8 Khan Academy – Absolute value Absolute Value of Integers OreFoc-lesson 9 Khan Academy Ordering Negative Numbers OreFoc lesson 10 and 11 Study Island – Lesson 10 & 11 Major clusters Adding Integers, Subtracting Integers 7.NS.1/7.NS.3 Khan Academy – L10. Add two or more integers. Adding integers with different signs L11. Subtract two or more integers to find Integer sums the difference Lesson 12, 13, 14 7.NS.2/7.NS.3 L12. – Multiply two integers to find the product. L13. – Divide two integers to find the Major Negative numbers Adding Negative Numbers Adding/Subtracting negative numbers Oregon Focus lessons 12, 13 and 14 Study Island – 2007 Grade 7 Compute with Integers Mulitplying Integers Learning Targets: Common Assessments When will you teach the concepts and skills? Block 2 Form B along with problem solving work sample at end of unit lessons. Clusters quotient L14. – Write and compute expressions with powers. Dividing Integers Mixed Operations of Integers Khan Academy – Multiplying and dividing negative numbers OreFoc lesson 15 Study Island – 2007 Grade 6 - Order of Operations Lesson 15 Major Clusters Math Common Core Grade 7 Properties of Addition & Subtraction Properties of Multiplication & Division Compute with Rational Numbers 7.NS.3 – L15 Find the value of expressions Single-Step Real World Problems using the order of operations. Khan Academy – Order of operations More Complicated Order of Operations Example Order of Operations 1 without Recommendation is done calculators. Recommendation is having comp tests for basic facts +, - x, / integers Resources CCSS Content Standard: What materials and Unit 3 What are the grade levels Concepts and resources will you utilize? Rational Skills you will teach? Or What must Number students learn? Oregon Focus Curriculum Operations SWBAT Study Island Khan Academy Learning Targets: When will you teach the concepts and skills? Common Assessments Block 3 Form B along with problem solving work sample at end of unit lessons. Pizzazz or Punchline Math Lessons 16, 17, & 18 7.NS.1/7.NS.3 L16. – Estimate sums and difference of rational numbers. L17. – Add positive and negative fractions and decimals. L18. – Subtract positive and negative fractions and decimals. Lessons 19, 20 & 21 7.NS.2/7.NS.3 L19. Estimate products and quotients of rational number operations. L20. Find products of positive and negative fractions and decimals. L21. Find quotient of positive and negative fractions and decimals. Unit 4 Solving Equations Lesson 22 CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 6.EE.2/7.EE.1 L22. Write and evaluate algebraic expressions and determine if a number is a solution of an equation. OreFoc – lesson 17 and 18 Study Island – 2007 grade 7 Compute with Rational Numbers Estimate Solutions Khan Academy- OreFoc-Lessons 19, 20 and 21 Study Island 2007 Grade 7 Compute with Rational Numbers Estimate Solutions Common Core Grade 7 Compute with Rational Numbers Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 22 Study Island – 2007 Grade 6 Evaluate Expressions Equivalent Expressions Learning Targets: Common Assessments When will you teach the concepts and skills? Block 4 Form B along with problem solving work sample at end of unit lessons. Common Core Grade 7 Linear Expressions Khan AcademyVariables Expressions and Equations Variables and Expressions 1 Lesson 23 6.EE.2/7.EE.1/7.NS.2 L23. Use inverse operations to solve onestep equations. OreFoc lesson 23 Study Island – 2007 Grade 6 Inverse Relationships Solve Equations Common Core Grade 7 Single-Step Real World Problems Khan Academy – Simple Equations Solving One-Step Equations Solving One-Step Equations 2 Lesson 24 7.EE.3/7.EE.4a L24. Solve two-step equations. OreFoc lesson 24 Study Island – Common Core Grade 7 Multi-Step Real World Problems Khan Academy – Algebra: Linear Equations 2 Solving Equations 1 Two-Step Equations Lesson 25 Lesson 26 7.EE.1/7.EE.2/7.EE.4a L26. Use the distributive property of simplify expressions and solve equations. OreFoc – lesson 25 Khan Academy – 7.EE.1/7.EE.2 OreFoc lesson 26 Solving Equations with the Distributive Property Lesson 27 L26. Simplifying expressions using the distributive property and combining like terms. 7.EE.3/7.EE.4a L27. Simplify and solve equations with variables on one side of the equation. Khan Academy – Solving equations with the distributive property 2 OreFoc lesson 27 Study Island – Common Core Grade 7 Symbolize & Solve Equations Khan Academy – Algebra: Linear Equations 3 Algebra: Linear Equations 4 Equation Special Cases Lesson 28 GAP Lesson 2-A 7.ee.3 L-28. Simplify and solve equations with variables on both sides of the equation. Khan Academy – 7.EE.4b GAP l2-A. Solve Linear inequalities with variables on one side or both sides of the equation. OreFoc lesson 2-A Study Island – Common Core Grade 7 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic Equations 3 Equations with Variables on Both Sides Multi-Step Equations Multi-step equations 1 Multi-step equations 2 Symbolize & Solve Inequalities Study Island – Common Core Grade 7 Symbolize & Solve Inequalities Khan Academy – Solving linear inequalities Inequalities on a number line Equations and Inequalities Solving Inequalities Writing and using inequalities 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? b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the 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. The following lessons are GAP lessons not currently in our Oregon Focus Curriculum Resources What materials and CCSS Content Standard: resources will you utilize? Unit 5 What are the grade levels Concepts and Angle Skills you will teach? Or What must Relationships Oregon Focus Curriculum students learn? Study Island SWBAT Khan Academy Pizzazz or Punchline Math GAP Lesson 4.MD.5/4.MD.6 OreFoc Lines and Angles – 2-B 2-B. Measuring and Naming Angles lesson 1 Learning Targets: Common Assessments When will you teach the concepts and skills? Block 5 Form B along with problem solving work sample at end of unit lessons. 4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: a. An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “onedegree angle,” and can be used to measure angles. b. An angle that turns through n onedegree angles is said to have an angle measure of n degrees. Study Island – Common core Grade 7 Angles 2- & 3-Dimensional Figures Khan Academy Angles Introduction to angles (old) Measuring Angles in Degrees Using a Protractor Measuring Angles 4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. GAP Lesson 2-C 4.MD.5/4.MD.6/4.MD.7 2-C. Classifying Angles 4.MD.7 Recognize angle measure as OreFoc Lines and AnglesLesson 2 Khan Academy – additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction Acute Right and Obtuse Angles Acute Obtuse and Right Angles problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. GAP Lesson 2-D 7.G.5 Complementary and Supplementary Angles OreFoc-Lines and Angles – Lesson 3 Study Island 2002 Grade 6 Complementary & Supplementary Angles Khan Academy – Complementary and Supplementary Angles Identifying Complementary and Supplementary Angles Angles (part 2) BMCC Math25 – section 10.5 (Angles and Triangles) GAP Lesson 2-E 7.G.5 Vertical Angle and Adjacent Angles OreFoc Lines and Angles Lesson 4 Punchline – Problem Solving pg 48-52 (Intersecting Lines and Triangles) Khan Academy – Proof-Vertical Angles are Equal Proportionality December – ½ of March Unit 6 Ratios and Rates Lesson 1 CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 6.RP.3d L1. Measurement - Convert customary and metric measurements Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure Look for and express regularity in repeated reasoning. Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 1 BMCC math 25 Chapter 9 sections 9.1-9.6 Study Island – 2007 Grade 7 Convert Units Khan Academy Unit conversion Converting units of length Conversion between metric units Learning Targets: Common Assessments When will you teach the concepts and skills? Block 1 Form B along with problem solving work sample at end of unit lessons. Customary and Metric units Converting within the metric system Converting Gallons to quarts pints and cups Converting pounds to ounces Comparing Celsius and Farenheit temperature scales Converting Farenheit to Celsius Lesson 2 Lesson 3 7.NS.2d L2. Fractions and Decimals, convert fractions to decimals and decimals to fractions. 6.RP.1 L3. Ratios – simplify and write rations in three forms. OreFoc lesson 2 BMCC math 25 section 5.5 OreFoc lesson 3 BMCC Math25 – sections 6.1 Introduction to Ratios Study Island – Khan Academy – Basic ratios and proportions Punchline Problem Solving with Ratio and Proportion (Ratio) pg 103 Lesson 4 7.RP.1 L4. Unit Rates – calculate unite rates OreFoc lesson 4 Study Island – common Core grade 7 Unit Rates, Ratios & Proportions BMCC Math25 – sections 6.2 Rates and Unit rates Khan Academy – Simplifying Rates and Ratios Lesson 5 Future Grade Level HS.N-Q.1 L5 – Rate conversions – convert rates to different units. OreFoc lesson 5 Khan Academy - Finding Unit Rates Extension GAP Lesson 2-F 7.RP.1 Rates and Ratios with Complex Fractions. 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 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. Unit 7 Proportions and Similarity Lesson 6 CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 7.RP.2/7.RP.3 L6. Write and Solve Proportions Punchline Problem Solving with Ratio and Proportion (Rate) pgs 104, 105 BMCC Math25 – section 6.1 –recognizes ratios and rates within word problems. Section 6.2 – word problems finding the rate and ratios using fractions and decimals. Khan Academy – Ratios as Fractions in Simplest Form Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 6 Study Island Common Core Grade 7 - Ratios & Proportions BMCC Math25 section 6.3 Punchline Bridge to Algebra pg 88 Learning Targets: Common Assessments When will you teach the concepts and skills? Block 2Form B along with problem solving work sample at end of unit lessons. Khan Academy Understanding Proportions Lesson 7 7.RP.3 L7. Problem Solving with Proportions OreFoc lesson 7 Khan Academy – Find an Unknown in a Proportion 2 Lesson 8 Extension future grade 8.G.2/8.G.4 L8. Similar and Congruent Figures – Recognize congruent and similar figures. Find the scale factor of similar figures. BMCC Math25 section 6.4 Punchline- Bridge to Algebra pg 89, 90, 91 Punchline – Problem Solving pg 106, 109, 110 OreFoc lesson 8 Study Island Common Core Grade 7 Scale Drawings Study Island 2007 Grade 7 Similarity & Congruence Lesson 9 Lesson 10 8.G.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 8.G.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. Punchline-Bridge to Algebra pg 144, 145 7.RP.3 L9. Proportions and Similar Figures – use proportions to solve problems involving similar figures. 7.G.1 OreFoc lesson 9 BMCC Math25 section 6.5 Punchline-Bridge to Algebra pg 144, 145 OreFoc lesson 10 and 11 Lesson 11 Unit 8 Percents and Probability Lesson 12 L10. Scale Drawings – Find the scale factor, ratio or perimeters and ratio of areas of similar figures. L11. Scale Drawings – Use scales for maps, blueprints and models to find missing measurements. CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 6.RP.3 L12. Fractions, Decimals and Percents – Convert between fractions, decimals and percents. Punchline-Problem Solving Scale Drawings pg 107 Punchline –Problem Solving –Similar Figures 108 Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 12 BMCC Math25 sections 7.1 and 7.2 Study Island 2007 Grade 6 Percents Fractions, Decimals, & Percents Study Island Common Core Grade 7 Percents Lesson 13 7.SP.5 L13. Probability –Find and interpret experimental and theoretical probabilities. Understand that the probability of a Algebra 1 –old text (Holt, Rinehart and Winston – 4.2 (percent problems) OreFoc lesson 13 Study Island – 2007 Grade 6 Probability Study Island -2007 Grade 7 Probability Khan Academy – Learning Targets: Common Assessments When will you teach the concepts and skills? Block 3 Form B along with problem solving work sample at end of unit lessons. Lesson 14 chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. Probability Simple Probability Probability (part 1) Probability (part 2) Probability (part 3) Probability (part 4) Probability (part 5) Probability (part 6) Probability (part 7) 7.SP.6/7.SP.7 L14. Use Probability to Predict – Predict an outcome using experimental and theoretical probability. OreFoc -Lesson 14 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times. GAP Lessons Lesson 2-G Lesson 2-H 7.SP.7/7.SP.8 L2-G - Compound Probabilities Using Algebra 1 –old text (Holt, Rinehart and Winston – 4.3 (Introduction to Probability) Punchline – Bridge to Algebra – pg 108 (Probability Study Island Common Core Grade 7 Probability Khan Academy Coin Flipping Example Probability with Playing Cards and Venn Diagrams Events and Outcomes 1 Events and Outcomes 2 Events and Outcomes 3 Dependent Probability Example 1 Dependent Probability Example 2 OreFoc GAP lessons 2-G and 2-H Puncline – Bridge to Algebra pg 109 (The Need to create common assessment. Recommendation is to have a work sample Lists, Tree Diagram and Tables L2-H - Compound Probabilities Using Multiplication and Simulation 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. a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected. b. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequenci Find probabilities of compound events using organized lists, tables, tree counting Principle. Pg 110 (Independent and Dependent Events) Pg 111 (Permutations) Pg 112 (Combinations) Khan Academy – Addition Rule for Probability Compound Probability of Independent Events Independent Events 1 Independent Events 2 Independent Events 3 Punchline – Problem Solving Pg 135 - 137 (Meaning of Probability Pg 138 – (Possible Outcomes: rule of Counting) Pg 139 (Independent Events) problem. diagrams, and simulation. a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. b. Represent sample spaces for compound events 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. c. Design and use a simulation to generate frequencies for compound events. For example, 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? Lesson 15 7.SP.7 (see above description) L15. Probabilities and Data Displays. Create and interpret pie charts and histograms. OreFoc lesson 15 Punchline –Bridge to Algebra pgs 104- 105(circle graphs) Algebra 1 –old text (Holt, Rinehart and Winston Pg 106 (histograms) Algebra 1 –old text (Holt, Rinehart and Winston – 4.5 (Graphing Data) 4.6 (Other Data Displays) Lesson 16 Lesson 17 Lesson 18 Lesson 19 7.RP.3 L16. Solving Percents using Proportions – Find the percent of a number using proportions. L17. Solving Percents using Equations – Find the percent of a number using the percent equations. Find a missing number using the percent equation. L18. Percent of Change. Find the percent increase or the percent of decrease between two numbers. Use percent of change to find new values. L19. Percent Applications – Solve problems involving mark-ups, discounts, tips and taxes. OreFoc lessons 16,17,18, and 19 Punchline – Bridge to Algebra Pg 88-89, 90-91 (Solving Proportions. Pg 94 (Percent of a Number) Pg 95-96, 97-98 (Problem Solving with Percents) Pg 99 (Percent Increase or Decrease) Punchline – Problem Solving pgs 111-123 BMCC Math 25 sections 7.3 and 7.4 (Solving Percent Problems Using Proportions.) 7.5 (Applications of Percents) 7.6 (Sales Tax, Commission, and Discount) The following Unit 9 are all GAP lessons not in current curriculum Unit 9 Sampling and Statistics CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? Resources What materials and resources will you utilize? Learning Targets: When will you teach the Common Assessments Block 4 Form B along with problem solving work SWBAT 2-I 2-J 7.SP.1 L2-I. Random Sampling Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc – lesson 2-I Study Island – Common core Grade 7 Sampling 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. Analysis 7.SP.2 L2-J. Inferences About a Population OreFoc – lesson 2-J Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. 2-K 7.SP.3/7.SP.4 L2-K. Measures of Center and Variability in Two Data-Sets OreFoc – lesson 2-K Study Island Common Core Grade 7 Central Tendency & Variability 7.SP.3 Informally assess the degree of concepts and skills? sample at end of unit lessons. visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable. 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. Unit 10 Direct Variation Lesson 20 CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 6.NS.8 L20. The Coordinate Plane – Recognize and graph ordered pairs on a coordinate plane. Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 20 Punchline – Bridge to Algebra pg 122 (the Learning Targets: Common Assessments When will you teach the concepts and skills? Block 5Form B along with problem solving work sample at end of unit lessons. Coordinate Plane) Lesson 21 8.F.5 L21. Making Sense of Graphs – Recognize a graph given words and explain the meaning of graphs. Focus on Skills – Algebra Lesson 5 – pgs 15-17 Study Island Common Core Grade 8 Functional Relationships Linear vs. Nonlinear Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. Lesson 22 Lesson 23 Lesson 24 Lesson 25 7.RP.2 L22. Direct Variation Tables and Graphs – Recognize direct variation in tables and graphs. L23. Direct Variation Equations – Write and graph direct variation equations. L24. Recognizing Direct Variation – Identify direct variation from other functions given graphs, tables or equations. 8.F.4 L25. Writing Linear Equations. – Write linear equations for tables or graphs. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, OreFoc lessons 22, 23, 24 Study Island Common Core Grade 7 Unit Rates Proportional Relationships Study Island Common Core Grade 8 Functional Relationships including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. Surface Area & Volume ½ of March - May Unit 11 TwoDimensional Geometry GAP Lesson 2-L Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure Look for and express regularity in repeated reasoning. CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? SWBAT 7.G.2 Drawing Geometric Shapes Resources What materials and resources will you utilize? Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc GAP lesson 2-L Learning Targets: Common Assessments When will you teach the concepts and skills? Block 1 Form B along with problem solving work sample at end of unit lessons. 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. Lesson 1 Lesson 2 7.G.6 L1. Areas of Triangles and Parallelograms – Use area formulas to compute area of geometric shapes and find missing measures. L2. Area of a Trapezoid – Understand and use the trapezoid are formula. OreFoc lessons 1 and 2 Study Island Common Core Grade 7 2- & 3-Dimensional Figures BMCC Math25 sections 10.1 (Perimeter) 10.2 (Area: rectangles, squares, parralelograms, triangles, and trapezoids) Punchline – Bridge to Algebra Pg 152-153 (Area of Parallelograms, Triangles, and Trapezoids) Khan Academy – Perimeter and Area Basics Area and Perimeter Perimeter of a Polygon Lesson 3 Lesson 4 Lesson 5 Lesson 6 7.G.4 L3. Parts of a Circle – Identify, name and define parts of circles. L4. Circumference and PI – Understand and use the relationship between pi and diameter to find circumference. L5. Area of a Circle – Understand and use the circle area formula. L6. More Pi – Identify and use common OreFoc lessons 3, 4, 5, 6 Study Island – Common Core Grade 7 Circles Punchline – Bridge to Algebra – pg 154 (circumference) Pg 156 (Circumference and Area of Circles) Khan Academy – Lesson 7 estimations of pi. Circles: Radius, Diameter and Circumference Parts of a Circle Area of a Circle BMCC Math25 sections – 10.3 (Circles – both circumference and area) 7.G.4/7.G.6 L7. Composite Figures – Find the area of composite figures. OreFoc lesson 7 BMCC Math25 section 10.2 pg 570 problems 43 – 48 Khan Academy – Perimeter and Area of a NonStandard Polygon Lesson 8 Lesson 9 Unit 12 TwoDimensional Geometry 7.G.4/8.G.4 L8. Circle Similarity – Apply properties of similarity to circles. HS.G-C.5 L9. Area of Sectors. – Use proportions to calculate the area of sectors. CCSS Content Standard: What are the grade levels Concepts and Skills you will teach? Or What must students learn? OreFoc lesson 8 Resources What materials and resources will you utilize? Learning Targets: When will you teach the concepts and skills? Common Assessments SWBAT Lesson 10 Lesson 11 GAP Lesson 2-M Lesson 12 Lesson 14 Lesson 17 Lesson 20 1.G.2/7.G.6 L10. Three-Dimensional Figures – Identify the names and qualities of three-dimensional figures. 7.G.6 L11. Drawing Solids – Sketch and draw solids in two-dimensions and in three dimensions. 7.G.3 2-M. Slicing Solids. 7.G.6 L12. Surface Area of Prisms – Calculate the surface area of prisms. L14. Surface Area of Regular Pyramids – Calculate the surface area of regular pyramids. L17. Volume of Prisms – Calculate the volume of prisms. L20. Volume of Pyramids – Calculate the volume of pyramids. Oregon Focus Curriculum Study Island Khan Academy Pizzazz or Punchline Math OreFoc lesson 10 Study Island Common Core Grade 7 Area, Surface Area, & Volume OreFoc lesson 11 Study Island Common Core Grade 7 Area, Surface Area, & Volume OreFoc GAP lesson 2-M OreFoc lessons 12, 14, 17, 20 BMCC Math25 section 10.4 (Volume- rectangular prisms, cubes, cylinders, spheres, and circular cones.) Punchline – Bridge to Algebra pg 157 (Space figures) Pg 158 (Surface Area of Prisms) Pg 159 (Surface Area of Cylinders) Pg 160 (Volume of Prisms) Pg 161 (Volume of Prisms) Pg 162 (Volume of Cylinders) Pg 163 (Volume of Pyramids and Cones) Pg 164 (Volume of Spheres) Pg 165 (Volume of Composite Space Figures) Khan Academy – Cylinder Volume and Surface Area Volume of a Sphere