PBS LearningMedia: Math at the Core: Middle School
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 algebra
 geometry
 ratio
 statistics
 analyzing evidence
 collecting data
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PBS LearningMedia's Math at the Core: Middle School is a collection of free resources that support Common Core skills for grades 58. The videos, interactive activities, and infographics are organized by Common Core domain and by grade level, making it easy to find resources to use in your lesson and unit planning. All of the resources here include an educatorapproved activity  many include additional student handouts, discussion questions, and teachersupport materials.
Because these supplemental activities work well in a variety of settings, be sure to spend some time finding those that will work best in your class. For example, the support materials for a fraction activity suggest having students work individually to make paper areamodels, and then in pairs to try the digital interactive model. Another activity about statistics suggests that students alternate between wholeclass, smallgroup, and partner work. Consider how your students work best in your classroom as you plan and prepare.
Read More Read LessKey Standards Supported
Number And Operations—Fractions  
5.NF: Use Equivalent Fractions As A Strategy To Add And Subtract Fractions.  
5.NF.1  Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 
Operations And Algebraic Thinking  
5.OA: Analyze Patterns And Relationships.  
5.OA.3  Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. 
Write And Interpret Numerical Expressions.  
5.OA.1  Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. 
5.OA.2  Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. 
Ratios And Proportional Relationships  
6.RP: Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems.  
6.RP.1  Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.” 
6.RP.2  Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”1 
Statistics And Probability  
7.SP: Use Random Sampling To Draw Inferences About A Population.  
7.SP.1  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. 
7.SP.2  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. 
The Number System  
6.NS: Apply And Extend Previous Understandings Of Multiplication And Division To Divide Fractions By Fractions.  
6.NS.1  Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi? 
7.NS: Apply And Extend Previous Understandings Of Operations With Fractions To Add, Subtract, Multiply, And Divide Rational Numbers.  
7.NS.3  Solve realworld and mathematical problems involving the four operations with rational numbers. 
8.NS: Know That There Are Numbers That Are Not Rational, And Approximate Them By Rational Numbers.  
8.NS.2  Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 
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