Singapore Word problem

Rectangular modeling with money.

Word Problems!

In these examples rectangular modeling is used.

Uniform motion problem.

Rectangular modeling with money.

Rectangular modeling word problem.

Success here occurs by creating a model that has the lightest weight as the base size rectangle.

Volume of a Sphere

Area of a regular Polygon

We rely on the definition of an apothem and we notice that any regular polygon can be thought of as a collection of isosceles triangles. In the below example I utilize the definition of Tangent.

Fish Tank Volume word problem

Graphing a line in slope intercept form.

Isolate variable in denominator

The trick here is to multiply both sides of the equation by the least common multiple of the denominators. We MUST honor the distributive property.

Linear system

When we are asked to find a point of intersection we are actually being asked to solve a linear system. We could have chosen to graph this system or we could have chosen to use substitution. I chose to use elimination. I made this choice based on the fact the equations were presented in standard form.

Simplify like terms

This example is an effort to explain why and how to simplifying like terms work.

Unit multipliers

Here we must honor the fact that cubic meters is the same as (meter)(meter)(meter) and cubic inches is (inch)(inch)(inch). We must also know the conversions for meters to centimeters and centimeters to inches.

Finding an angle measurement

The key to being successful with this example is to look at the two triangles inside the large triangle. We must recall the measure of a straight angle is 180 degrees and so is the sum of angles in a triangle.

Isolate Variable

Isolate a variable by:
1) Changing all "-" signs to "+ the opposite"
2) Use the distributive property
3) Identify like terms
4) Combine like terms
5)Add the opposite
6)Divide since division is the opposite of multiply

Long Division

Long division requires a repeated process and a knowledge of relevant vocabulary.

Showing a triangle is a right triangle by using algebra.

Rectangular modeling problem involving "fractions of a remainder"

The trick to these "fraction of a remainder" rectangular modeling problems is to choose the correct number of squares to make up your original rectangle. Always choose the least common multiple of your denominators.

Sales commission

Volume in cubic miles

We must think of the irregularly shaped object as a collection of known geometric shapes. Remember the formulas for are of a rectangle and a semicircle. We need to recall that the formula for Volume is area of base multiplied by height.

Multiplication and Division of mixed units

Here we need to have a firm understanding of how many smaller units make up the larger unit. I choose to convert all units to the smaller of the two, then preform the required arithmetic , then convert back to the mixed units.

Geometry Test Review.

Her I post various explanations to support the solutions to the problems on the Review for the Final exam in a neighboring school district.

3D tesselation

In this example my 10 year old students take a line segment and divide it into 3 equal pieces to form a triangle. They take that triangle and form a triangular prism , they take that triangular prism and replicate the process many times to produce the polyhedron shown.

Isolate variable with mixed numbers

Container word problem

Here we recall "times" means multiply and we let a variable represent the unknown quantity.

Finding a point with certian constraints.

Simplifying an expression invoving exponents.

Value of a fraction

Irregularly shaped object volume

Consecutive Integers

Translating words to mathematical symbols is the key here.

Word problems GALORE!

Basic skills practice: ROUNDING

Word problem city!

Here we see word problems of varying degrees of challenge. Email me if the explanations are not clear enough.