ROCKY FORD CURRICULUM GUIDE SUBJECT: Algebra 1B TIMELINE: 1st Quarter 2. Equations and expressions model quantitative relationships and phenomena b. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies.I GRADE: High School I will make use of properties of operations to calculate with numbers in any form using mental computation strategies. Appl Holt, Rinehart, and Winston P. 4, 13 I will make use of properties of operations to calculate with numbers in any form using mental estimation strategies. I will apply properties of operations to convert between forms as appropriate of answers using mental computation. I will apply properties of operations to convert between forms as appropriate of answers using estimation strategies. I will apply properties of operations to assess the reasonableness of answers using mental computation. I will apply properties of operations to assess the reasonableness of answers using estimation strategies. 2. Equations and expressions model c. Use variables to represent quantities in a I will utilize variables to represent quantities in a real-world problem Holt, Rinehart, and Winston P. 13, 34 Variables quantitative relationships and phenomena real-world or mathematical problem, & construct simple equations and inequalities to solve problems by reasoning about the quantities. i. ii. Fluently 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. I Compare an algebraic solution to an arithmetic solution, identifying the sequence of the approach. by reasoning about the quantities. I will build variables to represent quantities in a mathematical problem. Rational Appl Numbers Inequalities I will use variables to represent and construct simple equations by reasoning about the quantities. I will use variables to represent and construct simple inequalities to solve problems by reasoning about the quanties. I will fluently solve word problems leading to equations of the form px +s q = r and p(x+q) = r, where p, q, and r are specific rational numbers. I will compare an algebraic solution to an arithmetic solutionof the operations used in each approach. I will compare an algebraic solution identifying sequence of the operations used in each approach. I will solve word problems leading to inequalities of the px + q > r where p, q, and r are specific rational numbers. I will solve word problems leading to inequalities of the form px + q < r, where p, q, and r are specific rational numbers. Appl P. 23 I will graph the solution set of the inequality of the problem. Inequality iii. 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. I I will interpret the solution set in the context of the problem. Appl P. 24, 78, 567-568 Appl iv. 2. Properties of algebra and equality are used to solve linear equations and systems of equations Graph the solution set of the inequality and interpret it in the context of the problem. I a.Solve linear equations in one variable. I will solve linear equations in one variable. Holt, Rinehart, and Winston P. 540 Infinite Solutions Like terms i. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. I I will give examples of linear equations in one variable with one solution. Appl P. 540 Linear equation I will give examples of linear equations in one variable infinitely with many solutions. I will give examples of linear equations in one variable with no solutions. Variable Rational number Coefficient Expanding ii. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. I I will solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using distributive property. I will solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions collecting like terms. Appl P. 4, 29, 540 expression s Distributive property Terms