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Algebra Readiness, Plan for 2006-2007
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| Week |
Topic |
skills |
| 1 |
Measurement Review |
Welcome! |
| 2 |
Whole Numbers, Place Value |
Non standard bases: base 5 |
| 3 |
Whole Numbers, Place Value |
digit place value, place value chart, English to Number, Locate number on numberline, ordering numbers |
| 4 |
Whole Numbers, Place Value |
expanded notation, exponents, powers of 10 (including place value chart), kinds of numbers |
| 5 |
Operations on Whole Numbers |
Standard algorithm for addition and subtraction, ten frames |
| 6 |
Operations on Whole Numbers |
Standard algorithm for multiplication, doubles plus one |
| 7 |
Operations on Whole Numbers |
Standard algorithm for division |
| 8 |
Operations on Whole Numbers |
associative and commutative properties |
| 9 |
Operations on Whole Numbers |
distributive property, ten frames, doubles plus one, End Quarter One |
| 10 |
Operations on Whole Numbers |
prime factors, list of factors, LCM, GCF |
| 11 |
Rational Numbers and Operations |
Concept of whole and its parts, Fraction Equivalence: mixed, improper simplifying, prime factors,order/compare/plot on a number line, meaning of One
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| 12 |
Rational Numbers and Operations |
Multiply, divide, positive and negative rational numbers, like and unlike denominators |
| 13 |
Rational Numbers and Operations |
Multiply, divide, positive and negative rational numbers, like and unlike denominators |
| 14 |
Rational Numbers and Operations |
probability |
| 15 |
Rational Numbers and Operations: conversions and decimals |
Identify terminating/non terminating (repeating) decimals and notations, meaning of decimal point ("and")
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| 16 |
Rational Numbers and Operations: conversions and decimals |
Identify digits in numbers (decimals), Include negative exponents for expanded notations
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| 17 |
Rational Numbers and Operations: conversions and decimals |
Place value and expanded form using decimals, Operations (+, -, x, /) with fractions & decimals |
| 18 |
Rational Numbers and Operations: conversions and decimals |
Ratio- proportion- percent equivalency, Order/compare/plot on number line
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| 19 |
Rational Numbers and Operations: conversions and decimals |
Simple percent problems, Applications (% increase/decrease, sales, discounts, tips, commissions, unit rate,) & proportional relationships |
| 20 |
Midterm: Place Value, Operations on Whole Numbers, Rational Numbers, Operations on Rational Numbers |
Review and semester exam |
| 21 |
Positive and Negative Numbers |
Compare/order/plot on number line (include negative fractions), Integer Operations
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| 22 |
Positive and Negative Numbers |
Opposites, absolute value, Definition of positive/negative exponents on whole numbers |
| 23 |
Positive and Negative Numbers |
Multiply/divide with exponents on whole numbers
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| 24 |
Symbolic Notation |
Order of operations including grouping symbols, Verbal models to math symbols, expressions and equations, Writing expressions
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| 25 |
Symbolic Notation |
Write and solve one step equations, Evaluate expressions, Solve Simple linear equations, Graph and interpret results
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| 26 |
Equations and Functions |
Function rule: prescription Y=2x+5, when given an x, we obtain f(x) and data table |
| 27 |
Equations and Functions |
Equality property of addition and multiplication, Simplify numerical expression by applying properties and justification, Solve 2 step equations, Solve multi-step equations
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| 28 |
The Coordinate Plane |
Plotting ordered pairs on the coordinate plane, Introduce plane as 4 quadrants and 2 axes, Plot a set of instructions such as a line or polygon, Graph lines from data tables, Concept: a graph is a collection of ordered pairs satisfying a defined condition, Length of lines
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| 29 |
Graphing Proportional Relationships |
Ratio and proportion, Geometric context for ratio and proportion, similar right triangles on a graph |
| 30 |
Graphing Proportional Relationships |
Graphing and interpreting relationships for y=mx, direct variation, drawing and reading graphs of lines passing through the origin, the concept of the slope of a line
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| 31 |
Data |
Measures of central tendency and interpretation |
| 32 |
Geometry |
Angles & Circles |
| 33 |
Geometry |
surface area, volume, Pythagorean Theorem |
| 34 |
Algebra Standard 2 (exclude fractional powers) |
Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.
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| 35 |
Algebra Standard 4 (exclude inequalities) |
Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x-5) + 4(x-2) = 12.
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| 36 |
Algebra Standard 5 (exclude inequalities) |
Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
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| 37 |
review |
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| 38 |
Final Exam |
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