PATCHWORK MATH Assembly Techniques By Lynn Wilder
What are we going to learn today? Formulas and techniques to create the following: Half Square Triangles – 8 at a time Quarter Square Triangles – 2-color Quarter Square Triangles – 3 color Y-Squares Square in a Square Tall Triangles Flying Geese – 8 at a time Double Flying Geese – 8 at a time Square in a Triangle – 2 at a time Patchwork Math 2
Half Square Triangles – 8 at a time Begin with 2 squares the exact same size Place the lighter square directly on top of the darker square Patchwork Math - Half Square Triangles 3
Mark the squares Use a ¼” ruler and mark from corner to corner Stitch directly on the marked line on each side of the ruler Patchwork Math - Half Square Triangles 4
Cutting the squares Step 1: Cut apart vertically Step 2: Cut apart horizontally Step 3: Cut apart diagonally Step 4: Cut apart diagonally the other way 5 Patchwork Math - Half Square Triangles
Pressing Press toward the dark triangle Patchwork Math - Half Square Triangles 6
Trimming with a Bloc-Loc ruler Align the ruler with the exact size of the Slide the ruler over and trim the left side UNFINSIHED size that you need and trim the right side. In this case, the unfinished size is 2” Before you know it, you have 8 perfect HST’s Patchwork Math - Half Square Triangles 7
A Little Tipsy It can take a few “cuts” to get used to a Bloc-Loc ruler. I always have my darker triangle pointing away from me on my cutting board. I make sure the Bloc-Loc letters are upside down. This way I can slide the ruler back and forth and align it with the exact tick marks on the ruler. Patchwork Math - Half Square Triangles 8
Two-Color Quarter Square Triangles (Hourglass) Begin with two squares. Place right Use a ¼” ruler and mark from corner to sides together corner on each side of the ruler Stitch directly on the marked line Patchwork Math – Hourglass Components 9
Cut directly You will have two sections. With right sides together, align between the Press in the direction of the contrasting triangles, dark half stitching lines darker triangle facing the light half Draw a line on both sides You will have two identical of the ruler. Stitch hourglass components directly on the lines. Cut between the stitching lines. Trim the dog ears Patchwork Math – Hourglass Components 10
Quarter Square Triangles – 3 color Begin with four squares Place the matching squares directly on top of the dark and light squares. Right sides together. Mark from corner to corner on both sides of the line Patchwork Math - Quarter Square Triangles 11
You will have four units Stitch then cut directly between the that look like this. Press in stitching lines the direction of the arrows With right sides together, align contrasting triangles (dark half facing the lighter half.) Patchwork Math - Quarter Square Triangles 12
Mark from corner to corner on each side of the ruler. Stitch directly on the lines Cut apart between the lines You will have 4 identical components Patchwork Math - Quarter Square Triangles 13
Y-Squares Begin with 4 squares. Note that two of the squares are smaller. Put them aside Place the two larger squares right sides together. Mark from corner to corner on each side of the ruler Patchwork Math – Y Squares 14
Cut directly between the lines. Next, slide the smaller, square C under the two HST Open and press toward the right sides together darker triangle Mark, then stitch directly on the lines Patchwork Math – Y Squares 15
Cut directly between the lines Cut off dog ears. Press in the direction of the larger triangle Patchwork Math – Y Squares 16
Square in a Square Begin with one base square and two corner squares If you are working with stripes, cut them from corner to corner like this Patchwork Math – Square in a Square 17
When stitching a triangle to a square, trim the right and left hand corners at a 90 ° angle It will look like this Trimming the corners will make it much easier to stitch the corners to the base block Patchwork Math – Square in a Square 18
It will look like this When stitching a triangle to an angle, trim the right and left hand corners at a 45 ° angle Place right sides together and stitch The finished product Patchwork Math – Square in a Square 19
Tall Triangle Squares Start with 2 squares and 2 rectangles Cut the rectangles like this Patchwork Math – Tall Triangle Squares 20
Draw a line from the exact mid-point at Gently fold the square in half to find the the top to the corner on each side middle of the square Stitch the “split” rectangle to the triangle with Cut along this line right sides together. Press toward the split rectangle. Do NOT cut off the dog ears yet Patchwork Math – Tall Triangle Squares 21
Trim ¼” from the apex of top of the square. Then complete the other side. Press in the Trim off the dog ears at the bottom direction of the split rectangle Patchwork Math – Tall Triangle Squares 22
Flying Geese Begin with 1 large square and 4 smaller squares With right side together, place two small squares on top of the large square and mark on both sides of the squares using a ¼” ruler. Stitch directly on the lines. It is good to have the squares overlap Patchwork Math – Flying Geese 23
Cut directly between the lines Press toward the small triangles Patchwork Math – Flying Geese 24
Place the remaining small squares on top of the large squares and mark on both sides of the ruler Stitch directly on the lines, then cut them apart between the lines. Press toward the small triangle Patchwork Math – Flying Geese 25
You will have four components that look like this Trim with a Bloc Loc Flying Geese Ruler Patchwork Math – Flying Geese 26
You will have four, perfect flying geese components that look like this Patchwork Math – Flying Geese 27
Double Flying Geese Begin with 8 small squares – 4 medium squares – 1 large square Patchwork Math – Double Flying Geese 28
Cut directly between the lines With right side together, place two small squares on top of the large square and mark on both sides of the squares using a ¼” ruler. Stitch directly on the lines. It is good to have the squares overlap Press toward the small triangles Patchwork Math – Double Flying Geese 29
Stitch directly on the lines, then cut them apart between the lines. Press toward the small triangle Place the remaining small squares on top of the large squares and mark on both sides of the ruler Patchwork Math – Double Flying Geese 30
You will have four components that look like this Trim with a Bloc Loc Flying Geese Ruler Patchwork Math – Double Flying Geese 31
Place a small square RST on the flying geese. Mark and stitch directly on the line Trim ¼” from the stitching line Press toward the triangle Patchwork Math – Double Flying Geese 32
Place a small square RST on the flying geese. Mark and stitch directly on the line. Trim ¼” from the stitching line Press in the direction of the triangle Patchwork Math – Double Flying Geese 33
Corner Square Triangles To make 4 Corner Square Triangles begin by cutting: 4 small squares – 4 small rectangles – 2 large rectangles Patchwork Math – Corner Square Triangles 34
Place the small squares on top of the small rectangle, RST and stitch. Press toward the rectangle Patchwork Math - Corner Square Triangles 35
Sew the rectangle/squares together. Do not press the seams yet Clip right at the point of the scissors, clipping through the stitches just a little bit. It’s okay because it will not be visible in the finished block Patchwork Math - Corner Square Triangles 36
Press the seam away from the square and toward the triangle Place this unit directly on top of the larger rectangle. Make sure the sides are aligned Patchwork Math – Corner Square Triangles 37
Line your ruler up along the 45 degree line on the ruler. The edge of the ruler should intersect with the seam at the exact corner of the square and the corner of the rectangle. Mark along this line Patchwork Math – Corner Square Triangles 38
The line will look like this Rotate the unit and mark the other side Patchwork Math – Corner Square Triangles 39
Stitch directly on the marked lines Patchwork Math – Corner Square Triangles 40
Cut one side, turn the component and cut the other side. Trim the dog ears Cut between the lines, approximately ¼” from the stitching lines. Your cut will NOT be exactly in the middle between the lines Patchwork Math - Corner Square Triangles 41
Press in the direction of the large triangle Patchwork Math 42
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