Month

Intro to Algebra

Standards

Algebra 1

Standards

Science - physical science

Standards

Social Studies - American history

Standards

August

• Math and me
• Honors contract
• Order of operation
• Scientific notation
• Exponents (positive and negative)
• Absolute value
• Distributive property
• Integers
• Combining like terms

September

• Graphing, finding slope, y-intercept, determining if points are on a line, table information, writing the equation of a line, given 2 points.
• Determining if a function is linear from a table
• Writing an equation of a line from the slope and y-intercept

• Bridge experiment, graph y=1/x function note asymptote, parallel and perpendicular lines

• Solving linear equations -adding subtracting, muplying and dividing
• Solving equations with variables on both sides
• Graphing linear equations and functions
• Graphing horizontal lines and vertical lines
• Graphing lines using intercepts, slope of a line, slope intercept form, point slope form, functions and relations
• Linear in general, domain, and range, parallel and perimendicular lines
• A look at word problems (ticket, car costs)
• Crayon POW

October

• Looking at exponential growth
• Simple and compound interest (Car or home interest project)
• Linear vs. non linear
• Thinking with mathematical models
• Graphing non-linear relationships

•  Continue functions
• Simple interest and compound interest
• Multi-step inequalities
• World problems using inequalities
• Birthday Punch POW
• Graphing inequalities
• Lettuce POW
• Literal equations, revisit Candle POW
• solving compound inequalities
• Proportions problems, absolute value problems, coin problems, mixture problems.
• Absolute value inequality problems

American Revolution - declaration of independence, colonial economy, revolutionary war, Boston massacre

November

• Square roots, simplifying square roots, operations with square roots.
• Pythagorean theorem in theory and in real life
• Finding distance & length of line segments, finding perimeters, special triangles, symmetry, perimeters, volumes, and surface areas of 3-dimensional shapes.
• Rational vs. irrational numbers.
• How to chnage a repeating decimal to a fraction.
• 30-60-90 and 45-45-90 triangles and their side lengths

• Writing linear equations, intercept form, point slope form, double intercept form, mixture, percents
• Work age word problems
• Perpendicular lines and equations
• Modeling linear equations
• Solving systems of equations and inequalities using graphing, substituion, elimination
• Solving two and three variable problems
• Pumpkin POW

December

• Central tendencies: mode, median, mean and range
• Box and whiker plots, stem-and-leaf plots, histograms, bar graphs, lines of best fit with given data
• Sampling group, ystematic sampling, convenience sampling, biased sampling, random sampling.
• Open & closed questions
• Peanut Butter project

• Begin radicals - simpifying, adding and subtracting
• Rationalizing square roots 
• Exponents and exponential functions, zero exponential, graphing exponential functionsVertical and horizontal transformation
• Exponential growth function, decay function & applications

January

• "Growing, growing, growing"
• Evaluating exponential expressions (positive and negative exponents)
• Mini-booklet of exponents rules
• Semester 1 Final Exam

• Solving equations by graphing
• Using the discriminant
• Solving quadratic Equations by finding roots
• Quadratic inequalities
• Simplifying radicals, Graphing Quadratic Functions.
• Review for first semester final with packets, and Final from Alg 1A at high school.
• Polynomials, Factoring x2 +bx + c=0

February

• Exponential equations
• Exponential growth and decay
• Graphing exponential equations
• Scientific notation review
• Recognizing linear and exponential relationships from an equation, table or graph

• Factoring Cubes
• Multiplying Polynomials
• Special products of Polynomials
• Factoring special products
• Solving equations in factored form
• Projectile motion problems

March

• "Frogs, fleas and painted cubes"
• Quadratic relationships, making tables, graphing
• Rectangles with fixed perimeters,
• Geometric representations of quadratics, triangular and rectangular numbers and their formulae
• Graphing quadratics, fractons with like and unlike denominators, subtracting fractions with like and unlike denominators, mutiply & divide fractions and mixed numbers.
• Using fractions, solving equations with fractions, quadratics practice expanding form to factored form.
• Finding the axis of symmetry
• Exponent practice

• Continue Factoring
• Watering My Lawn POW
• Proportions
• Direct and Inverse Variation
• Simplifying Rational Expression
• Simplifying radicals other than square roots
• Multiplying and Dividing Rational Expressions
• Adding and Subtracting Rational expressions with like and unlike denominators
• Solving rational equations
• Word problems using rational equations like wind and current, work, rate-time=distance.

April

• Finish "Frogs, fleas and painted cubes"
• Standard form of a quadratic quation and its' graph
• Describing a parabola, opeining up & down, y-intercept and x-intercept
• Project - reviewing the 2 relationships, linear, quadratic & exponential
• Paly placement test
• SIWS (distributive law, solving linear equations and combining like terms)
• Variables on both sides of the = sign

• Finish rational equations
• Begin functions definition
• Domain and range
• Asymptotes
• Functions involving square roots,
• Operations with radical expressions
• Solving radical equations
• Completing the square revisited
• Pythagorean theorem and its converse
• Distance formula
• Midpoint formula
• Perpendicular bisectors

May

• Say it with symbols - solving quadratic equations
• Factoring using the distributive law
• Factoring when the coefficient of the x2 term = 1
• Roots of a parabola
• Kaleidoscopes, hubcaps and m-types of symmetry (reflection, rotation and translation)
• Recognizing types of symmetry
• Transforming coordinates
• Project: Make an Esher-like drawing

• Odds and ends of Chap 12
  
• Matrices: adding, subtracting, multiplying, inverse of 2x2
• Finding solutions of linear systems with calculators and matrices
• Origami POW

June

• Computing number of combinations
• Paths in a network
• When order is important

• End of Year Project
• 
  Review for Final
  
• Alg. 1A final from High School