A-SSE 1 A-SSE 2 A-SSE 3 (IA) Equivalent Expression of Roots – what does 2sqrt(7) mean, how is it related to sqrt(28). (SA) of arithmetic processes and relationships Common Core (CC) Standards Curriculum Map Algebra 1 Jenn Sauriol and Michelle Polys Quarter 1 Conceptual Category Statistics Unit 2 Relationships 17 days running concurrently with Unit 1 CC Standard and Content Mathematical Practices and Essential Questions Prior Learning Instructional Activities(IA) Formative Assessments(FA) Summative Assessments(SA) Identifying Relationships` N-Q 1 N-Q 2 F-IF 4 F-IF 6 SMP 1 3 4 7 What variables are being related? This unit designed to give all students access to reading and interpreting the graphical representation Students need to have seen a coordinate plane (FA) pre-test (IA) ppt guided discussion looking at graphs and interpreting what they are seeing (IA) discuss descriptions and pull out variables (IA) Use rate to help create statements and to think about dependent vs. independent variables. (IA) data collection (in excel? Can it be transferred into autograph) about different qualities of students – height, shoe size, wrist size, hand length, miles from school, …) Sketching a graph N-Q 1 N-Q 2 A-CED 2 F-IF 4 F-IF 5 F-IF 6 SMP 1 3 4 7 Which variable depends on the other? What is the rate of change? Is the relationship positive, negative, or is no relationship? (IA) develop statements about variables and independent vs. dependent variables (IA) label axes and use statements to develop sketches of graphs (IA) discuss positive, negative, no relationships (IA) discuss rate of change – constant, variable (faster and faster, slower and slower) (IA) given stories create graphs Interpreting Ranger N-Q 1 F-IF 4 F-IF 5 F-IF 6 S-ID 9 SMP 1 3 4 5 7 What is this graph telling me? (IA) interpret given graphs and create stories (IA) Use ranger to move body to graph and discuss “speed” (SA) redo pre-test (SA) with arithmetic operations
Common Core (CC) Standards Curriculum Map Algebra 1 Jenn Sauriol and Michelle Polys Quarter 1 Conceptual Category Functions Unit 3 Functions 8 days CC Standard and Content Mathematical Practices and Essential Questions Prior Learning Instructional Activities(IA) Formative Assessments(FA) Summative Assessments(SA) Function Exploration Coordinate Plane A-SSE 3 F-IF 1 F-IF 7 F-IF 8 F-IF 9 F-BF 3 SMP 1 2 3 5 7 8 Does the algebraic notation impact the graphical representation? Plotting points on a coordinate plane (IA) sort cards – functions – document on paper what they found… Include language from representation unit (positive, negative relationships, rate of change…) (IA) computer explore – can you make a graph that looks like this? (ipad cart) Equivalent expressions A-SSE 3 F-IF 8 F-IF 9 SMP 1 2 5 6 7 What does it mean to be an equivalent expression? “combine like terms” “distribute” Running throughout the unit from start to end (IA) Review of combining like terms and distributive property (IA) continued practice through warm-ups and instruction. Function Notation F-IF 2 F-IF 8 F-BF 1 SMP 1 2 5 6 7 How can I use the algebraic notation to be more succinct? Order of operations evaluating expressions (IA) Exploring function notation as short hand for “evaluate … for x = …” Include: substituting a function into a function (f(x + 3) ) (FA) Quiz on function recognition, simplifying expressions and using function notation Graphing input/output graphs A-SSE 3 F-IF 1 F-IF 7 F-IF 8 F-IF 9 SMP 1 2 5 6 7 8 How are the three representations (algebraic, graphical, tabular) related? (IA) Putting together, the function notation, into a table, onto a graph – lots of practice – is the graph what you expected it to look like? (FA) Have students make graphs of different functions that can be hung together as a group with “parent” function – given a function provided Reading function graphs F-IF 1 F-IF 7 F-IF 8 F-IF 9 SMP 1 2 3 4 6 How do I get information from the graph? (IA) Using the graph to read the other representations – gaining fluency moving through the different representations. (SA) Unit Test
A-CED 4 A-REI 3 (IA) relate back to graphing linear functions – give in standard form and students have to solve for y to be able to find slope and y-intercept (Ratios and Proportions Review and application) A-REI 1 SMP 1 4 6 7 8 ???? Fraction Timing??? MidYear…. Common Core (CC) Standards Curriculum Map Algebra 1 Jenn Sauriol and Michelle Quarter 3 Conceptual Category Algebra Unit 6 Linear Systems 10 days CC Standard and Content Mathematical Practices and Essential Questions Prior Learning Instructional Activities(IA) Formative Assessments(FA) Summative Assessments(SA) Solving Graphically 1, 0, all solutions A-REI 6 SMP 1 3 5 How many solutions does a system of two linear equations have? a linear function (IA) How many solutions does a system of 2 linear equations have? Substitution Method A-REI 6 SMP 1 2 6 7 What is an algebraic way to solve a system of linear equations? Substituting an expression into a function Elimination Method / Linear Combination A-REI 5 A-REI 6 SMP 1 2 6 7 Which method of solving a system of linear equations will work best for this problem? Combining like terms Applications A-CED 3 A-REI 6 SMP 1 2 3 4 5 What is the usefulness of creating a system of linear equations? Language for different operations
Factoring out a monomial (gcf) A-SSE 2 SMP 1 2 3 6 7 Am I able to create equivalent expressions with polynomials? Division “factor” (IA) Review factors (matching like expressions) – greatest common factor (IA) Explore and generalize for reversing distribution (IA) guided independent practice (fold and pass) (FA) Quiz Double distributive (foil) And more distributive A-SSE 2 A-APR 1 SMP 1 2 3 6 7 8 Am I able to create equivalent expressions with polynomials? (IA) Explore and generalize (IA) guided independent practice Factoring into 2 binomials (unfoil) Coeff of 1 and Coeff of a Difference of 2 perfect squares A-SSE 2 SMP 1 2 3 6 7 8 Am I able to create equivalent expressions with polynomials? “Product” and “sum” “standard form” (IA) Matching Cards pairing factored and trinomial form - Explore and generalize rules for 1 as leading coefficient (IA) guided independent practice (FA) quiz (IA) factor by grouping (IA) AC method for leading coefficients other than 1 (IA) guided independent practice Multiple Factoring methods A-SSE 2 A-SSE 3 SMP 1 2 3 6 7 8 How does pulling out the greatest common factor make factoring easier? (IA) guided independent practice (SA) Test of polynomials Common Core (CC) Standards Curriculum Map Algebra 1 Jenn Sauriol and Michelle Quarter 4 Conceptual Category Algebra Unit 10 Solving Quadratic Equations 7 days CC Standard and Content Mathematical Practices and Essential Questions Learning Instructional Activities(IA) Formative Assessments(FA) Summative Assessments(SA) Graphically A-REI 7 A-REI 4 F-IF 9 SMP 1 3 5 7 How many possible solutions? Interpret graphs (IA) Graphically explore polynomial equations (IA) How many possible solutions? (0, 1, 2, many?)