Understand how to use the Pythagorean theorem to calculate the missing side of a right triangle.
2
Trigonometric Ratios
Learn to apply sine, cosine, and tangent to solve for unknown angles and sides.
3
Real-World Applications
Apply right triangle math to measure heights, distances, and angles on construction sites.
Circles & Arcs
Circle Properties
Understand the key properties of circles, including radius, diameter, circumference, and area.
Arc Length
Learn to calculate the length of an arc based on the circle's radius and the angle of the arc.
Sector Area
Discover how to find the area of a sector, a portion of a circle defined by an arc and two radii.
Polygons
1
Regular Polygons
Identify and understand the properties of regular polygons, such as equilateral triangles and squares.
2
Irregular Polygons
Learn to calculate the area and perimeter of irregular polygons with varying side lengths and angles.
3
Polygon Transformations
Explore how to rotate, reflect, and translate polygons to create new shapes and designs.
Linear Measure
Mastering Linear Measurements
Understand the importance of precise linear measurements in construction, from using a tape measure to converting between units like inches, feet, and meters.
Applying Linear Principles
Calculate lengths, widths, and heights
Measure and mark cut lines for materials
Ensure compliance with building codes and specifications
Surface Measure
1
Area Calculation
Determine the area of 2D surfaces like walls, floors, and roofs.
2
Material Estimation
Use surface area to estimate the quantity of materials needed for a project.
3
Layout Planning
Apply surface measurements to design efficient floor plans and room layouts.
Cubic Measure
Volume Calculation
Learn to calculate the volume of 3D shapes like cubes, rectangular prisms, and cylinders.
Capacity Estimation
Use volume measurements to determine the capacity of containers, tanks, and other structures.
Material Planning
Apply cubic measurements to estimate the amount of materials, like concrete or insulation, needed for a project.
Applying Geometric and Trigonometric Principles
Precise Measurements
Utilize linear, surface, and cubic measurements to ensure accurate project planning and execution.
Angle Calculations
Apply trigonometric functions to determine unknown angles and optimize structural design.
Technical Drawings
Incorporate geometric principles into architectural plans and technical schematics.
Practical Application
Translate geometric and trigonometric knowledge into practical, real-world construction solutions.