California Common
Core Content Standards
Overview:
“The fundamental purpose of this course is to formalize and extend
the mathematics that students learned in the middle grades. Because it is built
on the middle grades standards, this is a more ambitious version of Algebra I
than has generally been offered. The critical areas, called units, deepen and
extend understanding of linear and exponential relationships by contrasting
them with each other and by applying linear models to data that exhibit a
linear trend, and students engage in methods for analyzing, solving, and using
quadratic functions. The Mathematical Practice Standards apply throughout each
course and, together with the content standards, prescribe that students
experience mathematics as a coherent, useful, and logical subject that makes
use of their ability to make sense of problem situations” (Common Core
Standards for Mathematics, Appendix A).
Specifically,
your child will…
These
learning targets are found in the following High School California Common Core
Standards from the domains and subdomains listed below
- Number and Quantity
- Quantities
- Use units to make sense of problems
and solutions.
- Define appropriate quantities.
- Choose and interpret appropriate
units.
- Choose and interpret the scale in
graphs from tables.
- Use appropriate quantities for
descriptive modeling.
- Algebra
- Seeing Structure in Expressions
- Interpret expressions.
- Interpret the parts of quadratic
functions.
- Identify ways to re-write quadratic
functions.
- Factor and complete the square to
identify key features.
- Use factoring to identify zeros in
quadratic functions.
- Complete the square to find maximum
and minimum values in quadratic functions.
- Arithmetic with Polynomials and
Rational Expressions
- Use properties of equality to
maintain equivalent systems of equations.
- Solve systems of equations
graphically and algebraically.
- Understand that the point of
intersection on a graph is common solution to the system.
- Graph systems of linear inequalities
(linear programming).
- Creating Equations
- Create equations and inequalities
(including absolute value) in one variable.
- Rearrange formulas to highlight
variables.
- Create equations in two variables to
model relationships.
- Represent constraints for equations
and inequalities (set-builder and interval notation).
- Reasoning with Equations and
Inequalities
- Explain steps in solving equations.
- Understand that a graph of a two
variable relationship is a picture of all solutions.
- Solve quadratic equations using the
best method: for example by taking square roots, completing the
square, the quadratic formula or factoring.
- Functions
- Interpreting Functions
- Identify domain and range.
- Use function notation and evaluate
functions.
- Recognize patterns in sequences
which are sometimes recursive.
- Recognize recursive sequences may
form linear and exponential functions.
- Calculate the average rate of change
over an interval.
- Graph functions and identify key
features.
- Sketch the graphs and interpret the
key features when given a verbal description.
- Find the appropriate domain in
context.
- Graph and identify key features of
piecewise-defined functions (linear), step functions and absolute value
functions.
- Building Functions
- Write a function explicitly,
recursively, or from steps in context.
- Apply transformations on the graph
of the functions.
- Linear, Quadratic, and Exponential
Models
- Distinguish growth of linear
functions vs. growth of exponential functions.
- Construct linear and exponential
functions including arithmetic and geometric sequences.
- Distinguish situations modeled with
linear and exponential functions.
- Construct linear and exponential
functions given a graph, table or a description of a relationship.
- Compare quantities in a linear vs
exponential function from a graph or a table.
- Interpret the parameters in context.
- Apply quadratic functions to
physical, real-world problems.
- Statistics and Probability
- Interpreting Categorical and
Quantitative Data
- Represent data on a scatter plot and
describe the relationship between the two variables.
- Distinguish between correlation and
causation.
- Fit the function to data and assess
the fit of the function.
- Fit a linear function for the
scatter plot which suggests a linear relationship.
- Interpret the rate of change and the
intercept of a linear model.
- Compute the correlation coefficient.
- Represent data with dot plots,
histograms and box plots.
- Compare measures of center and
spread of two or more data sets.
- Interpret differences in data sets
accounting for effects of outliers.
- Recognize trends of data through
two-way frequency tables.
Also see:
Glendale
Unified School District Mathematics Curriculum
2016-2017 Year-at-a-Glance (Algebra 1 High School)
2016-2017 Year-at-a-Glance (Algebra 1 Middle School)
The
Year-at-a-Glance is a unit-by-unit progression of what students will be
learning this year