Integrated Math 1
Course Description
This year-long college-preparatory course aims to formalize and extend the mathematics that students learned in Math 6, Math 7 and Math 8. This course aligns with the Common Core State Standards for high school integrated mathematics 1 and includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Students will use technology and models to investigate and explore mathematical ideas and relationships, and develop multiple strategies for analyzing complex situations. Students are encouraged to consider multiple perspectives in approaching problems. Analysis will be done verbally, numerically, graphically, and symbolically. Lastly, students will apply mathematical skills and make meaningful connections to life experiences through projects. This course is required for high school graduation. (UC “C” approved)
Course Curriculum
“enVision Integrated Mathematics I” by Ron Kennedy, Eric Milou, Christine Thomas & Rose Mary Zbiekl (2019) – Savvas Learning Company
IXL Online Mathematics Program
CA Common Core State Standards (pg. 86)
Topics / Assessments
Topic 1: Solving Equations and Inequalities
Standards:
N-Q.A: Reason quantitatively and use units to solve problems. (1-2), (1-3)
A-CED.A: Create equations that describe numbers or relationships. (1-1) to (1-6)
A-REI.A: Understand solving equations as a process of reasoning and explain the reasoning. (1-1) and (1-2)
A-REI.B: Solve equations and inequalities in one variable. (1-1),(1-2),(1-4) and (1-5)
Topic 2: Linear Equations
Standards:
A-CED.A*: Create equations that describe numbers or relationships. (2-1) to (2-4)
A-REI.D: Represent & solve equations & inequalities graphically. (2-1) to (2-3)
F-LE.A: Construct/compare linear, quadratic, and exponential models and solve problems. (2-2)
G-GPE.B: Use coordinates to prove simple geometric theorems algebraically. (2-4)
Topic 3: Linear Functions
Standards:
F-IF.A: Understand the concept of a function and use function notation. (3-1), (3-2) and (3-4)
F-IF.B: Interpret functions that arise in applications in terms of the context. (3-2) and (3-3)
F-IF.C: Analyze functions using different representations. (3-3)
F-BF.A: Build a function that models a relationship between two quantities. (3-3) and (3-4)
F-LE.A*: Construct/compare linear, quadratic, and exponential models and solve problems. (3-4)
S-ID.B: Summarize, represent, and interpret data on two categorical and quantitative variables. (3-5) and (3-6)
*S-ID.C: Interpret linear models. (3-5) and (3-6)
Topic 4: Systems of Linear Equations and Inequalities
Standards:
*A-CED.A: Create equations that describe numbers or relationships. (4-2) to (4-5)
A-REI.C: Solve systems of equations. (4-1) to (4-3)
*A-REI.D: Represent & solve equations & inequalities graphically.. (4-4) and (4-5)
Topic 5: Exponents and Exponential Functions
Standards:
A-REI.B: Solve [exponential] equations & inequalities in 1 variable. (5-1)
F-IF.B: Interpret functions that arise in applications in terms of the context. (5-2) and (5-5)
*N-Q.A: Reason quantitatively and use units to solve problems. (5-3)
A-SSE.A: Interpret the structure of expressions. (5-3)
*F-IF.C: Analyze functions using different representations. (5-5)
*F-BF.A: Build a function that models a relationship between two quantities. (5-2), (5-4) and (5-5)
*F-LE.A: Construct/compare linear, quadratic, and exponential models and solve problems. (5-2) to (5-4)
F-LE.B: Interpret expressions for functions in terms of the situation they model. (5-3)
Topic 6: Foundations of Geometry
Standards:
G-CO.A: Experiment with transformations in the plane. (6-1)
G-CO.D: Make geometric constructions. (6-2)
G-GPE: Use coordinates to prove simple geometric theorems algebraically. (6-3)
MP3.1: Build proofs by induction & proofs by contradiction. (6-4) and (6-8)
MP3: Construct viable arguments & critique the reasoning of others. (6-6) and (6-7)
Topic 7: Parallel and Perpendicular Lines
Standards:
MP3: Construct viable arguments & critique the reasoning of others. (7-4)
MP3.1: Build proofs by induction & proofs by contradiction. (7-4)
G-GPE.B: Use coordinates to prove simple geometric theorems algebraically. (7-4)
IXL Check-List
Topic 8: Transformations
Standards:
*G-CO.A: Experiment with transformations in the plane. (8-1) to (8-3)
G-CO.B: Understand congruence in terms of rigid motions. (8-2) to (8-5)
IXL Check-List
Topic 9: Triangle Congruence
Standards:
*G-CO.A: Experiment with transformations in the plane. (9-1), (9-3) to (9-4)
*G-CO.B: Understand congruence in terms of rigid motions. (9-1), (9-3) to (9-4)
*G-CO.D: Make geometric constructions. (9-8)
*G-GPE.B: Use coordinates to prove simple geometric theorems algebraically. (9-7)
IXL Check-List
Topic 10: Statistics
Standards:
S-ID.A: Summarize, represent, and interpret data on a single count or measurement variable. (10-1) to (10-4)
*S-ID.B: Summarize, represent, and interpret data on two categorical and quantitative variables. (10-5)
IXL Check-List
