Lymboo Math. Smart math program for smarter kids!
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Stage 15

Objectives
  • Understand the use of variables in mathematical expressions
  • Construct, evaluate and solve one-variable linear equations
  • Solve two-variable linear equations
  • Recognize and reason with planar and solid shapes
  • Understand and recognize symmetry, similarity, congruency and geometric transforms of planar and solid figures
  • Understand lines, line segments, and rays
  • Classify angles and triangles
  • Understand grid, points and geometric coordinates
  • Calculate perimeter, area, and volume of various two and three dimensional shapes and objects
  • Describe and compare measurable attributes of temperature, length, weight, and volume in metric and customary units
  • Recognize and understand histograms, frequency chart, and stem-and-leaf charts
  • Interpret data represented on various types of charts and graphs
  • Understand and calculate mode, mean and range of data sets
  • Develop understanding of statistical variability and probability. Learn to calculate probability of simple events
Unit 1: Expressions and equations with one variable

Students learn to recognize expressions, equations and inequalities. They solve equations with one variable based on sum, difference, product, and quotient. They translate word problems into equations with one variable and solve for the unknow variable.

Unit Review
  1. Expressions, equations and inequalities
  2. Construct expressions
  3. Equations with one variable - addition and subtraction
  4. Equations with one variable - multiplication and division
  5. Equations with one variable - all operations
Unit 2: Shapes, symmetry, congruency and geometric transformations

Students further strengthen their understanding of two-dimensional shapes and solid figures. Among other topics, they are introduced to rotational symmetry and mathematical terminology related to geometric transformations.

Unit Review
  1. Two-dimensional shapes and solids
  2. Distinguish planar shapes and solid figures
  3. Recognize symmetry in geometric shapes
  4. Similarity of geometric shapes and solid figures)
  5. Congruent shapes
  6. Identify open and closed figures, polygons and non-polygon shapes
  7. Geometric transformations: reflection, rotation, and translation)
Unit 3: Measurement

Students continue to improve their understanding of various units of measurement and use those skills to solve interesting problems.

Unit Review
  1. Appropriate temperature
  2. Appropriate units
  3. Unit conversion - custormary units
  4. Unit conversion - metric units
  5. Conversion of customary units of length - using mixed unit notation
  6. Conversion of customary units of weight - using mixed unit notation
  7. Conversion of customary units of volume - using mixed unit notation
  8. Conversion of metric units - using mixed unit notation
Unit 4: Histogram, frequency chart, stem and leaf chart

Students learn to organize data into histogram, frequency chart and stem and leaf chart.

Unit 5: Application of equations

Students solve equations with two variable based on sum, difference, product and quotient. They translate word problems in to equations with one variable and solve for the unknown variables.

Unit 6: Lines, angles, triangles, and quadrilaterals

Students are introduced to lines, line segemnts, rays, and angles. They recognize angles as geometric shapes and understand concepts of angle measurement and classification. They apply this knowledge to classify triangles and quadrilaterals.

Unit Review
  1. Identify lines, line segments and rays
  2. Categorize angles
  3. Names of angles - acute, right, obtuse, straight, or reflex
  4. Identify triangles as acute, right, or obtuse
  5. Classification of triangles
  6. Identify quadrilaterals
Unit 7: Time

Students learn to relationship between different units of time. They learn to convert among different units. They apply their skills of addition and subtraction to solve problems related to patterns in time sequences, events on a timeline and schedules described as a timetable.

Unit Review
  1. Conversion of time units
  2. Conversion of time units - using mixed unit notation
  3. Conversion of time units - using fractions
  4. Time patterns
  5. Start, duration, and end times
  6. Duration of time - word problems
Unit 8: Mode, median, mean, and range

Students learn to calculate mode, median, mean, and range of data sets. They also learn to compare two data sets using data statistics.

Unit 9: Introduction to coordinate geometry

Students are introduced to a coordinate system. They learn about axes, points as ordered pairs of numbers, and origin. They uderstand that the first number of the point indicate how far to travel from origin in the direction of one axis, and similarly for the second number. They join points in straight lines and recognize resulting geometric shapes.

Unit 10: Probability calculation

Students learn to enumerate all possible outcomes of an event and calculate probability of simple events.

Unit 11: Perimeter, area, and volume

Students continue learning more about perimeter and area. They are also introduced to the concept of volume of rectangular prisms.

Unit Review
  1. Perimeter - no units
  2. Perimeter of simple and complex shapes - with or without units
  3. Perimeter of complex rectangular shapes composed of tiles
  4. Perimeter - find the missing side, identical units
  5. Perimeter - find the missing side, with mixed units
  6. Perimeter - word problems
  7. Area of complex geometric shapes - no units
  8. Area of complex geometric shapes - customary and metric units
  9. Area and perimeter of rectangular shapes
  10. Area - word problems
  11. Cost involving area and perimeter - word problems
  12. Volume of rectangular prism - composite blocks
  13. Volume of rectangular prism - partial composite blocks