Grade 5

A Sample Analysis of Mathematical Content Standards

Our lesson plan includes some of the most common prerequisites and contributing elements to algebra readiness. It meets many elements of official mathematics standards. We include the following analysis of California Department of Education Mathematics "Content Standards" to illustrate this (see http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf for details.)

NOMENCLATURE: P = Prerequisite, C = Contributing, D = Direct (one or more elements)
Individual standards are classified accordingly.
For example, D-N1 = Direct support of Number Sense Standard Number 1.0 for respective grade.

Lesson Area	Math Grade 5 No. Sense -2 Algebra - 1 Meas. Geom.- 2 Data Anal. - 1 Reasoning - 3	Math Grade 6 No. Sense -2 Algebra - 3 Meas. Geom.- 2 Data Anal. - 3 Reasoning - 3	Math Grade 7 No. Sense -2 Algebra - 4 Meas. Geom.-3 Data Anal. - 1 Reasoning - 3	Algebra I Grade 8-12 Standards - 25
General
- Basic Counting	D-N1, D-N2, P-all, C-all	P-all, C-all	P-all, C-all	P-all, C-all
- Writing Numbers^*	P-all, C-all	P-all, C-all	P-all, C-all	P-all, C-all
- Relative Sizes^*	P-all, C-all	P-all, C-all	P-all, C-all	P-all, C-all
- Rounding Numbers^*	P-all, C-all	P-all, C-all	P-all, C-all	P-all, C-all
- Graphing Points (1-D)	D-D1, P-all, C-all	P-all, C-all	P-all, C-all	P-all, C-all
Integers and Decimals
- Basic Addition	D-N1, D-N2, P-all	P-all, C-all	C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	D-1, P-all, C-all
- Basic Subtractions	D -N1, D-N2, P-all	P-all, C-all	C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	D-1, P-all, C-all
- Basic Multiplication	D - N1, D-N2, P-all	P-all, C-all	C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	D-1, P-all, C-all
- Basic Division	D-N1, D-N2, P-all	P-all, C-all	C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	D-1, P-all, C-all
- Combining Operations	D-N1, D-N2, P-all	P-all, C-all	C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	D-1, P-all, C-all
- Simple Expressions	D-R1	D-A1, P-all, C-all	D-R1,D-R2, C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	C-3, C-4,C-5
- Complicated Expressions	D-R1	D-A1, D-R1	D-R1,D- R2, C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	C-3, C-4,C-5
- Parenthesis	D-R1	D-A1	D-R1,D- R2, C-N1, C-N2, C-A1, C-A2, C-A3 , P-all, C-all	C-3, C-4,C-5
- Exponents			D-N2, D-A1, D-A2, D-A3, P-all, C-all	C-2
- Variable Substitution	D-A1			P-all, C-all
Graphing
- Points (2-D)	D-D1	C-A1,C-A2,C-A3		C-6,C-7
- Lines (Y=MX+B)		C-A1,C-A2,C-A3	D-A3, D-A4	D-6,D-7, D-8
- Quadratics (Y=AX^2+BX+C)			D-A3, D-A4, C-R1, C-R2, C-R3	D- 21, D-22
- Solutions (0=AX+B)	D-A1	C-A1,C-A2,C-A3	D-A3, D-A4, C-R1, C-R2, C-R3	D-3,D-5
- Solutions (0=AX^2+BX+C)			D-A3, D-A4, C-R1, C-R2, C-R3	D-20, D-21, D-22
Algebraic Expressions/Equations
- Simplifying		C-A1,C-A2,C-A3	D-A4, C-all	D-4, P-all, C-all
- Solving		C-A1,C-A2,C-A3	D-A4, C-all	D-4, P-all, C-all

^* Planned. However, these elementary skills are implict in some of the other areas.

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