MATH Activities ver3
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1 MATH Activities ver3 This content summary list is for the school year. Detailed Content Alignment Documents to State & Common Core Standards are posted on NOTE: Penda continues to create and add new content so these lists will change. MATH Topic Penda Level Activity Titles ALGEBRA Advanced Intermediate Real World: Sports Shop Using Letters to Represent Variables Manipulating Algebraic Expressions Algebraic Proof + Formulas Factoring Factorization + Factorization Completing the Square + Completing the Square Using Completing the Square + Recursion Polynomials Linear Equations + Linear Equations Improve: One-step Equations w/ Addition Improve: One-step Equations w/ X Improve: Two-step Equations Improve: One-step Equations w/ Brackets Advanced Linear Equations + Advanced Linear Equations Advanced Systems of Equations Quadratic Equations + Quadratic Equations Difference Between Two Squares + Solving Quadratic Equations Algebraic Fractions + Inequalities + Inequalities Graphs and Real Life Situations + Graphs and Real Life Situations Characteristic of Line Graphs Point-Slope-Formula Graphs Graphical Solutions and Equations + Transformation of Curves + Trial and Error + Understanding Operations Dimensions of Formulas Using Letters to Represent Variables Formulas Absolute Value Manipulating Algebraic Expressions Expressions + Expressions Linear and Quadratic Sequences Page 1 of 8
2 GEOMETRY Advanced Solving Quadratic Equations Inequalities Simultaneous Equations Systems of Equations Direct and Inverse Proportion + Direct and Inverse Proportion Determining Square Root of a Number Laws of Exponents Factoring Factoring - Quadratic Graphs and Real Life Situations Simple Graphs Understanding Operations Literal Equations Real World: Calendar Real World: Castle Trouble Coordinates + Coordinates Angles + Angles Angles of Elevation and Depression Angles in Polygons + Angles in Polygons Properties of Triangles + Properties of Triangles Pythagorean Theorem + Pythagorean Theorem Improve: Pythagorean - Using Diagrams Improve: Pythagorean - Apply Theorem Sine Rule Trigonometry + Trigonometry Trigonometry of Any Angles + 3-D Pythagorean Theorem and Trigonometry Properties of Quadrilaterals + Properties of Quadrilaterals Properties of Circles Improve: Circumference of Circles Improve: Compound Shapes: Circumference Improve: Area of Cirlce Improve: Compound Shapes: Adding Areas Improve: Compound Shapes: Remove Area 3-D Shapes + 3-D Shapes Congruence + Similar Shapes + Similar Shapes Scale Drawings + Scale Drawings Transformations + Transformations Translation + Translation Vectors + Page 2 of 8
3 MATH BASICS Vectors Reflection + Reflection Rotation + Rotation Improve: Rotation Equations of lines that are parallel or perpendicular Intermediate Coordinates + Coordinates Angles + Angles Improve: Find Unknown Angle at a Point Improve: Find Unknown Angle on a Line Improve: Find Alternate/Corresponding Improve: Find Unknown Angle Improve: Using Reasoning to Find angle Improve: Find Angle in a Quadrilateral Bearings Angles of Elevation and Depression Properties of Triangles Improve: Find Angle in Scalene Triangle Improve: Find Vertex Angle in Isosceles Improve: find Base Angle in Isosceles Pythagorean Theorem Sine Cosine Tangent Congruence + Congruence Similar Shapes + Similar Shapes Transformations + Transformations Scale Drawings + Scale Drawings Number Patterns + Number Patterns Sequence and Series Matrices Coordinates + Coordinates Triangles + Triangles Polygons Properties of Circles + Properties of Circles Angles on a Straight Line and at a Point Lines and Planes Transformations, Rotations and Reflections Congruent Shapes and Tessellations 3-D Shapes + 3-D Shapes 2D and 3D Shapes Using Algebra with Shape Page 3 of 8
4 MENTAL MATH USING A CALCULATOR Real World: Negative Numbers Addition Subtraction Multiplication Division Division - Remainders Approximate First Rules for Calculation Negative Numbers Missing Box Questions Odd and Even Numbers Doubling and Halving Factoring Multiplication Facts Division Facts Multiplication & Division Strategies Decimals with a Sum of 0.1, 1 or 10 PLACE VALUE, ORDERING and ROUNDING NUMBER OPERATIONS Real World: Place Value Real World: Estimation Ordering Rounding Integers Rounding Decimals Approximation Positive and Negative Integers Choosing an Appropriate Method Inverse Operations Calculator Skills Advanced Order of Operations + Order of Operations Exponents Laws of Exponents Powers and Roots Rounding Inverses Negative Numbers + Negative Numbers Number Theory Fractions 1 + Fractions 1 Fractions 2 + Fractions 2 Improve: Multiplying Simple Fractions Improve: Dividing Simple Fractions Improve: Adding Fractions Improve: Subtracting Fractions Improve: Multiplying Fractions Improve: Dividing Fractions Fractions + Decimals + Page 4 of 8
5 Intermediate NUMBER PROPERTIES Decimals Repeating Decimals + Repeating Decimals Percentages Ratio and Proportion + Ratio and Proportion Approximation + Approximation Advanced Compound Interest Real World: Ratio Order of Operations + Order of Operations Exponents Scientific Notation Inverses Negative Numbers Simple Fractions Improve: Ordering Fractions Improve: Equivalent Fractions Improve: Fraction of Whole Numbers Improve: Adding Simple Fractions Improve: Subtracting Simple Fractions Equivalent Forms Fractions + Fractions Ratios + Ratios Rate Multiplying and Dividing Decimals Simple Percentages Percentages + Percentages Improve: Percent as Part of 100 Improve: Calculate Percent - Calculator Improve: Calculate Percent - w/o Calculator Improve: Using Percentages Improve: Percents and Equivalent Fractions Approximation Real World: Equivalent Fractions Real World: Ordering Decimals Value of Digits in Decimals Understanding Decimals Approximation and Rounding Converting Fractions Express as a Fraction Equivalent Fractions Reducing Comparing and Ordering Fractions Improper Fractions Ratio and Proportion Understanding Percentages Real World: Factors, Multiples and Primes Number Properties - Odds and Evens Page 5 of 8
6 MEASUREMENT Advanced Intermediate Factors Multiples Prime Numbers Properties of Numbers Number Properties Number Operations + Number Patterns and Sequences Squares, Cubes and Roots Using Symbols to Solve Problems Units of Measurement Units + Units Discrete and Continuous Measures Compound Measure Changes in Dimension Dimensions of Formulas + Dimensions of Formulas Area and Perimeter + Area and Perimeter Areas of Shapes + Areas of Shapes Area of a Triangle + Area of a Triangle Circles Volume Volume and Capacity Volume of 3D Solids, Sphere and Cone etc + Volume of 3D Solids, Sphere and Cone etc Surface Area 3D Shapes + Surface Area 3D Shapes Scales + Scales Units of Measurement Discrete and Continuous Measures Conversion Changes in Dimension Areas of Shapes + Areas of Shapes Improve: Rectangle: Using Units Improve: Rectangle: Using Formula Improve: Parallelogram: Using Rectangle Improve: Parallelogram: Using Formula Improve: Triangle: Using Rectangles Improve: Triangle: Using Formula Improve: Trapezoid: Using Rectangles Improve: Trapezoid: Using Formula Improve: Complex: Adding Areas Improve: Complex: Remove Rectangle Improve: Complex: Remove Triangle Circles Volume and Capacity Measurement Problem Solving Length - Metric Perimeter Page 6 of 8
7 DATA ANALYSIS PROBABILITY Area Estimates and Scales Mass - Metric Capacity - Metric Time Advanced Real World: Basketball List Outcomes Two Way Tables + Two Way Tables Stem and Leaf Diagrams + Questionnaires and Surveys + Questionnaires and Surveys Displaying Data Pictograms + Bar Charts Frequency Graphs and Polygons + frequency Graphs and Polygons Cumulative Frequency + Cumulative Frequency Scatter Diagrams and Correlation + Scatter Diagrams and Correlation Correlation and Lines of Best Fit Averages, Mean, Mode and Median Measures of Central Tendency Intermediate Sampling + Sampling Displaying Data Pie Charts + Pie Charts Scatter Diagrams and Correlation + Scatter Diagrams and Correlation Stem and Leaf Diagrams + Stem and Lear Diagrams Measures of Central Tendency Data Collection Reading Tables Frequency Tables and Tally Charts Pictograms + Pictographs Pie Charts and Bar Charts Venn and T-Charts Average and Spread + Average and Spread Capacity - Metric Time Advanced Probability Scales Probability + Sum of Probabilities Probability 1 Probability 2 Conditional Probability + Conditional Probability Page 7 of 8
8 Probability in Review Reasoning Intermediate Simple Probability Probability + Probability Probability + Probability Interpreting Data Page 8 of 8
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