Foundations of Algebra/ Geometry A
Number sense
- Real numbers – Rational and Irrational
- Word problems using the 4 operations
- Compare & order real numbers; less than, greater than, equal to, number line
- Estimation and conversion of decimals and fractions
- GCF and LCM
- Absolute value with real life examples
- Order of operations
- Squares and square roots
- Scientific Notation
Basic Algebra
- Identifying and Adding like terms, simplifying expressions
- Distributive property
- Writing algebraic expressions
- Evaluating algebraic expressions
- One step equations
- Two step equations
Percentage, Ratio, Rates and Proportions
- Percentage problems: Tax, tips, discounts
- Direct proportions
- Inverse proportions
- Ratios in Real life
- Solving word problems with ratios and proportions
Graphing on a number line
- Reading the Number line
- Using Less than, greater than, less than or equal to, greater than or equal to
- Solving inequalities: one-step, two-step, multi-step
- Graphing Inequalities
Relation and Functions
- Graphing on a Coordinate Plane
- Identify relations in a table of x and y values
- State Domain and Range in a set of data
- Identify if a set of data is a function or not
Graphing on a coordinate Plane
- Slope of a line
- Linear equations and their graphs
- Scatter plots
- Equations of lines that are parallel and perpendicular
- Midpoint and Distance
Probability
- Calculating probability to predict future events
- Odds of an event occurring
Measurement
- US customary Units: Length, Weight, Volume
- Metric System: Length, Weight, Volume
- Conversions
- Estimation
Angles
- Review vocabulary: acute, obtuse, right, straight, supplementary, complementary
- Problems: find the missing angles
- Application: Using equations set up to find x or the missing angle
***********************************************************************************************************
Foundations of Algebra/ Geometry B
Salisbury High School Mrs. Govande
Course Objectives:
- To improve number sense and estimation
- To strength computation of concepts in Geometry
- To strength application of Geometry concepts
- To strength computation of concepts in Algebra
- To strength application of Algebraic concepts
ALGEBRA
Number Operations:
- Integers Operations
- Fractions Operations AND Estimating Fractions
- Decimals Operations AND Estimating decimals: Rounding
- Combining like terms
- Distributive property
- Evaluating expressions given a value
- One-step and two-step equations
- Multi-step equations
Proportions and Percentages
- Discounts and Tips
- Simple Interest AND Compound Interest
- Rate of increase and rate of decrease
- Solving proportions
Graphing on a number line
- Reading the Number line
- Using Less than, greater than, less than or equal to, greater than or equal to
- Solving inequalities: one-step, two-step, multi-step
- Graphing Inequalities
Relation and Functions
- Graphing on a Coordinate Plane
- Identify relations in a table of x and y values
- State Domain and Range in a set of data
- Identify if a set of data is a function or not
Graphing on a coordinate Plane
- Slope of a line
- Linear equations and their graphs
- Scatter plots
- Midpoint and Distance
Data Analysis
- Mean, median and mode
- Box and Whiskers
- Stem and Leaf
- Circle, Bar and Line Graphs
Probability
- Simple probability
- Odds of an event occurring
GEOMETRY
Angles
- Review vocabulary: acute, obtuse, right, straight, supplementary, complementary
- Angles of a triangle (Scalene, Isosceles, Equilateral)
- Angles formed by parallel lines and transversals
- Problems: find the missing angles
- Application: Using equations set up to find x or the missing angle
Area and Perimeter of irregular shapes
- Formulas for area and perimeter: square, rectangle, triangle, circle, and parallelogram/ rhombus
- Finding missing dimensions (length, width, radius)
Properties of quadrilaterals and other Polygons
- Name the different quadrilaterals
- Relationships between, sides, diagonals and angles
- Finding missing measures
Surface area and Volume
- Calculating SA and V of various polyhedrons including cube, prism, cylinder, cone
- Finding missing measurements using appropriate formulas
Circles
***********************************************************************************************************
Practical Math Salisbury High School Mrs. Govande
Course objectives:
- Students will improve basic number sense and solve real life multi-step mathematical problems.
- Students will improve banking skills.
- Students will improve measurement and time skills
Number sense and number operations
- Application of fractions; Estimating
- Application of decimals and whole numbers; Estimating
- Conversions of fraction, decimals and percent
- Estimate to solve word problems
- Multi-step word problems
Measurement
- Length
- Area, perimeter
- Weight and Volume: metric system, US Customary Unit
- Distance (TRAVELING)
Handling Money
- Making change
- Calculating tips and Calculating sales tax
- Estimating Tips and Tax : 5%, 10%, 15%, 20%, 25%
- Applying discounts: discount price, sales price (food and clothes)
- Comparison-shopping using unit pricing (food and clothes)
Time
- Telling time – analogue and digital;
- Elapsed time; Adding time;
- Days, week, month, year
- Computation: borrowing and carrying over 60 minutes – I hour
- Estimation: counting hours, counting by 5 minutes, counting by ¼ hour (15 minutes), counting by ½ hour (30 minutes)
- Word Problems/ problem solving
Banking and in the Community
- Checking and Savings accounts
- Writing checks, maintaining a check register
- Wages and Salary (hourly rates, weekly, annual, gross pay, net pay)
- Shopping for clothes and groceries
- Renting a home/ buying a home, mortgage loans
- home owners insurance
- Home repairs and improvements
- Utility bills: telephone, gas, electric
- Buying and Maintaining a car
- Life Insurance
- Budgeting money
- Banking and Investments
- Paying taxes
**************************************************************************************************************
Learning Support Alg/ Geo I Salisbury High School Mrs. Govande
Course Objectives:
- Students will learn to integrate concepts of Algebra and Geometry
- Students will enhance their computation skills
- Students will be able to explore real life applications
- Students will achieve grade level proficiency in Algebra and Geometric concepts
Course Description: Keystones Algebra I content
Numbers and Operations
- Compare and order real numbers
- Fractions, equivalent fractions and fractions operations
- Decimals, recurring and terminal, decimals operations
- Perfect squares and non-perfect squares
- Order of Operations
Algebraic expressions
- Single step equations
- Multi-step equations
- Writing and solving equations for word problems
- Monomials, Polynomials
- Evaluating and simplifying expressions
- Rules of Exponents
Rates and Proportions
- Direct proportions
- Inverse proportions
- Ratios in Real life
- Solving word problems with ratios and proportions
Relation and Functions
- Identify relations in a table of x and y values
- State Domain and Range in a set of data
- Identify if a set of data is a function or not
Rate of change/ slope (Coordinate Geometry)
- Positive and Negative rate of change
- Real life examples of rates; using per
- Rate of change as slope
- Formula to calculate slope
- Slope on a graph; rise over run.
Linear Equations and Inequalities (Coordinate Geometry)
- Using slope-intercept form to graph lines
- Writing Linear equations and graphing
- Equations of lines that are parallel and perpendicular
- Inequalities on a number line
- Linear inequalities and their graphs
- Midpoint and distance applications
Data Analysis
- Mean, median and mode
- Box and Whiskers
- Stem and Leaf
- Circle, Bar and Line Graphs
Probability
- Calculating probability to predict future events
- Odds of an event occurring
Geometry
Angles
- Classify angles as acute, obtuse, right, straight, supplementary, and complimentary
- Measure angles with a protractor
- Special angles formed by parallel lines and a transversal
- Solving angle problems for the unknown; using algebraic equations
Properties of quadrilaterals
- Relationships between, sides, diagonals and angles
- Finding missing measures
Area and Perimeter
- Area and perimeter of a polygon
- Finding missing measurements using appropriate formulas
Triangles
- Side and angle relations of isosceles and equilateral triangles
- Similar triangles
- Pythagorean theorem
- Radical expressions and their operations
Circles
- Area and circumference
- Parts of a circle
- Angles formed in a circle
- Identifying missing lengths and angles
Surface area and Volume
- Calculating SA and V of various polyhedrons including cube, prism, cylinder, cone
- Finding missing measurements using appropriate formulas
**************************************************************************************************************