Search the California Content Standards

Cluster:
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Standard:
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 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. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Cluster:
Draw, construct, and describe geometrical figures and describe the relationships between them.

Standard:
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Cluster:
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standard:
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Enduring Understanding: Media artists require a range of skills and abilities to creatively solve problems within and through media arts productions.
Essential Question(s): What skills are required for creating effective media artworks and how are they improved? How are creativity and innovation developed within and through media arts productions? How do media artists use various tools and techniques?
Process Component(s): Practice

Performance Standard(s):
a. Exhibit an increasing set of artistic, design, technical, and soft skills, such as creative problem solving and organizing, through performing various roles in producing media artworks. b. Exhibit an increasing set of creative and innovative abilities, such as adaptive tool usage and exploratory processes, in developing solutions within and through media arts productions.

Cluster:
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Standard:
Solve real-world and mathematical problems involving the four operations with rational numbers.

Footnote:
Computations with rational numbers extend the rules for manipulating fractions to complex fractions.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction ½/¼ miles per hour, equivalently 2 miles per hour.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Recognize and represent proportional relationships between quantities. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.

Standard:
Recognize and represent proportional relationships between quantities. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.