Occasions for an Equation!
This flexible game is two games in one. Students can either evaluate or solve algebraic equations. Both games reinforce order of operations, evaluating equations, and solving equations.
Standards
Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.
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. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||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. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||5.OA.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.||Common Core Mathematics||Grade 5||Operations And Algebraic Thinking||Write And Interpret Numerical Expressions|||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.||Common Core Mathematics||Grade 5||Operations And Algebraic Thinking||Write And Interpret Numerical Expressions|||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. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||6.EE.2. Write, read, and evaluate expressions in which letters stand for numbers.||Common Core Mathematics||Grade 6||Expressions And Equations||Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions|||6.EE.3. Apply the properties of operations to generate equivalent expressions.||Common Core Mathematics||Grade 6||Expressions And Equations||Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions|||6.EE.4. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.||Common Core Mathematics||Grade 6||Expressions And Equations||For Example, Apply The Distributive Property To The Expression 3 (2 + X) To Produce The Equivalent Expression 6 + 3X; Apply The Distributive Property To The Expression 24X + 18Y To Produce The Equivalent Expression 6 (4X + 3Y); Apply Properties Of Operations To Y + Y + Y To Produce The Equivalent Expression 3Y|||6.EE.5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.||Common Core Mathematics||Grade 6||Expressions And Equations||Reason About And Solve One-Variable Equations And Inequalities|||6.EE.6. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.||Common Core Mathematics||Grade 6||Expressions And Equations||Reason About And Solve One-Variable Equations And Inequalities|||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. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.||Common Core Mathematics||Grade 7||Expressions And Equations||Use Properties Of Operations To Generate Equivalent Expressions|||7.NS.2.c. Apply properties of operations as strategies to multiply and divide rational numbers.||Common Core Mathematics||Grade 7||The Number System||Apply And Extend Previous Understandings Of Operations With Fractions To Add, Subtract, Multiply, And Divide Rational Numbers|||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. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices
1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).||CA Mathematics||Grade 4||02. Algebra and Functions||1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences.|||1.3 Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.||CA Mathematics||Grade 4||02. Algebra and Functions||1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences.|||2.0 Students know how to manipulate equations.||CA Mathematics||Grade 4||02. Algebra and Functions|||1.0 Students use variables in simple expressions, compute the value of the expression for specific values of the variable, and plot and interpret the results.||CA Mathematics||Grade 5||02. Algebra and Functions|||1.3 Know and use the distributive property in equations and expressions with variables.||CA Mathematics||Grade 5||02. Algebra and Functions||1.0 Students use variables in simple expressions, compute the value of the expression for specific values of the variable, and plot and interpret the results.|||1.1 Write and solve one-step linear equations in one variable.||CA Mathematics||Grade 6||02. Algebra and Functions||1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results.|||1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process.||CA Mathematics||Grade 6||02. Algebra and Functions||1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results.|||1.0 Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.||CA Mathematics||Grade 7||02. Algebra and Functions|||1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2x + 5)2.||CA Mathematics||Grade 7||02. Algebra and Functions||1.0 Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.|||1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used.||CA Mathematics||Grade 7||02. Algebra and Functions||1.0 Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and graphs.|||4.0 Students solve simple linear equations and inequalities over the rational numbers.||CA Mathematics||Grade 7||02. Algebra and Functions|||04.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.||CA Mathematics||Grade 8 – 12||01. Algebra I
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